In [1]:
import pandas as pd
import numpy as np
In [2]:
train_org = pd.read_csv('train.csv',engine='python')
test_org = pd.read_csv('test.csv')
train_org.columns, test_org.columns
Out[2]:
(Index(['Id', 'MSSubClass', 'MSZoning', 'LotFrontage', 'LotArea', 'Street',
'Alley', 'LotShape', 'LandContour', 'Utilities', 'LotConfig',
'LandSlope', 'Neighborhood', 'Condition1', 'Condition2', 'BldgType',
'HouseStyle', 'OverallQual', 'OverallCond', 'YearBuilt', 'YearRemodAdd',
'RoofStyle', 'RoofMatl', 'Exterior1st', 'Exterior2nd', 'MasVnrType',
'MasVnrArea', 'ExterQual', 'ExterCond', 'Foundation', 'BsmtQual',
'BsmtCond', 'BsmtExposure', 'BsmtFinType1', 'BsmtFinSF1',
'BsmtFinType2', 'BsmtFinSF2', 'BsmtUnfSF', 'TotalBsmtSF', 'Heating',
'HeatingQC', 'CentralAir', 'Electrical', '1stFlrSF', '2ndFlrSF',
'LowQualFinSF', 'GrLivArea', 'BsmtFullBath', 'BsmtHalfBath', 'FullBath',
'HalfBath', 'BedroomAbvGr', 'KitchenAbvGr', 'KitchenQual',
'TotRmsAbvGrd', 'Functional', 'Fireplaces', 'FireplaceQu', 'GarageType',
'GarageYrBlt', 'GarageFinish', 'GarageCars', 'GarageArea', 'GarageQual',
'GarageCond', 'PavedDrive', 'WoodDeckSF', 'OpenPorchSF',
'EnclosedPorch', '3SsnPorch', 'ScreenPorch', 'PoolArea', 'PoolQC',
'Fence', 'MiscFeature', 'MiscVal', 'MoSold', 'YrSold', 'SaleType',
'SaleCondition', 'SalePrice'],
dtype='object'),
Index(['Id', 'MSSubClass', 'MSZoning', 'LotFrontage', 'LotArea', 'Street',
'Alley', 'LotShape', 'LandContour', 'Utilities', 'LotConfig',
'LandSlope', 'Neighborhood', 'Condition1', 'Condition2', 'BldgType',
'HouseStyle', 'OverallQual', 'OverallCond', 'YearBuilt', 'YearRemodAdd',
'RoofStyle', 'RoofMatl', 'Exterior1st', 'Exterior2nd', 'MasVnrType',
'MasVnrArea', 'ExterQual', 'ExterCond', 'Foundation', 'BsmtQual',
'BsmtCond', 'BsmtExposure', 'BsmtFinType1', 'BsmtFinSF1',
'BsmtFinType2', 'BsmtFinSF2', 'BsmtUnfSF', 'TotalBsmtSF', 'Heating',
'HeatingQC', 'CentralAir', 'Electrical', '1stFlrSF', '2ndFlrSF',
'LowQualFinSF', 'GrLivArea', 'BsmtFullBath', 'BsmtHalfBath', 'FullBath',
'HalfBath', 'BedroomAbvGr', 'KitchenAbvGr', 'KitchenQual',
'TotRmsAbvGrd', 'Functional', 'Fireplaces', 'FireplaceQu', 'GarageType',
'GarageYrBlt', 'GarageFinish', 'GarageCars', 'GarageArea', 'GarageQual',
'GarageCond', 'PavedDrive', 'WoodDeckSF', 'OpenPorchSF',
'EnclosedPorch', '3SsnPorch', 'ScreenPorch', 'PoolArea', 'PoolQC',
'Fence', 'MiscFeature', 'MiscVal', 'MoSold', 'YrSold', 'SaleType',
'SaleCondition'],
dtype='object'))
In [3]:
import matplotlib.pyplot as plt
import seaborn as sns
In [5]:
train = train_org.copy()
test = test_org.copy()
In [6]:
train_num = train._get_numeric_data()
plt.figure(figsize=[30,30])
sns.heatmap(train_num.corr(),annot=True)
Out[6]:
<matplotlib.axes._subplots.AxesSubplot at 0x27a98cb75c8>
Three pairs seems to have highly correlated:
1stFlrSf:TotalBsmtSF TotalRmAbvGrnd:GrLivArea GarageArea:GarageCar
This information might be helpful during model developement
In [7]:
plt.figure(figsize=[5000,5000])
# sns.pairplot(train_num)
sns.pairplot(train_org)
plt.show()
C:\Users\Sujal Bhavsar\Anaconda3\lib\site-packages\numpy\lib\histograms.py:824: RuntimeWarning: invalid value encountered in greater_equal keep = (tmp_a >= first_edge) C:\Users\Sujal Bhavsar\Anaconda3\lib\site-packages\numpy\lib\histograms.py:825: RuntimeWarning: invalid value encountered in less_equal keep &= (tmp_a <= last_edge)
<Figure size 360000x360000 with 0 Axes>
Above pairplot gives an idea about categorical(discrete) and non-categorical(continuous) variables.
Treatment on missing variables is presetned below
In [9]:
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
import statsmodels.api as sm
import statsmodels.formula.api as smf
from statsmodels.formula.api import ols
from sklearn.impute import SimpleImputer
from sklearn.base import TransformerMixin
from statsmodels.nonparametric.smoothers_lowess import lowess
import scipy.stats as stats
In [15]:
class DataFrameImputer(TransformerMixin):
def __init__(self):
"""Impute missing values.
Columns of dtype object are imputed with the most frequent value
in column.
Columns of other types are imputed with mean of column.
"""
def fit(self, X, y=None):
self.fill = pd.Series([X[c].value_counts().index[0]
if X[c].dtype == np.dtype('O') else X[c].mean() for c in X],
index=X.columns)
return self
def transform(self, X, y=None):
return X.fillna(self.fill)
The above class would replace the missing values. Numerical values are imputed with the mean of column. Non-numerical vlaues are imputed with most frequent value
In [16]:
# train_org.isnull().sum()
# test_org.isnull().sum().to_csv('missinginfotest.csv')
# train_org.isnull().sum().to_csv('missinginfo.csv')
MIssing Data¶
Following csv File is extracted to check the columns with missing data. https://drive.google.com/open?id=1-cf4LNosEY87jupB5XfnqapenAOttyCw
Columns with more than 25% of Missing values are opted out. \ They are: 'Alley','FireplaceQu','PoolQC','Fence','MiscFeature'
DataFrameImputer class defined above was passed on both testing and training dataset to fill the rest of the missing values. It imputes the column with dtype object with the most frequent values and columns with numeric values with the column mean.
Care is taken while considering the missing categorical variables which have numerical values. E.g
The missing categorical variable which has numeric values in training and testing set are: In Traing set: 'GarageYrBlt' \ In Testing set: 'GarageYrBlt', 'GarageCars','BsmtHalfBath','BsmtFullBath'
In [17]:
train_copy=train_org.copy()
test_copy=test_org.copy()
In [18]:
train_pre=train_copy.drop(['Id','Alley','FireplaceQu','PoolQC','Fence','MiscFeature'],axis=1) # droping columns which has more than 25% of missing values
test_pre=test_copy.drop(['Id','Alley','FireplaceQu','PoolQC','Fence','MiscFeature'],axis=1)
In [19]:
train=DataFrameImputer().fit_transform(train_pre) # Imputing the missing values for numerical takes mean; For categorical takes frequency
test=DataFrameImputer().fit_transform(test_pre)
In [20]:
train['GarageYrBlt']=train['GarageYrBlt'].astype(int) # This is the only numerical quantity which is category that needs to be converted to integer
test['GarageYrBlt']=test[['GarageYrBlt', 'GarageCars','BsmtHalfBath','BsmtFullBath']].astype(int)
train=train.rename(columns={"1stFlrSF":"firstFlrSf","2ndFlrSF": "secondFlrSf","3SsnPorch":"threeSsnPorch"}, errors="raise") #The provided columns names were note accepted hence changed
test=test.rename(columns={"1stFlrSF":"firstFlrSf","2ndFlrSF": "secondFlrSf","3SsnPorch":"threeSsnPorch"}, errors="raise")
In [21]:
reg=ols('SalePrice~ C(MSSubClass)+MSZoning+LotFrontage+LotArea+Street+LotShape+LandContour+Utilities+LotConfig+LandSlope+Neighborhood+Condition1+Condition2+BldgType+HouseStyle+C(OverallQual)+C(OverallCond)+C(YearBuilt)+C(YearRemodAdd)+RoofStyle+RoofMatl+Exterior1st+Exterior2nd+MasVnrType+MasVnrArea+ExterQual+ExterCond+Foundation+BsmtQual+BsmtCond+BsmtExposure+BsmtFinType1+BsmtFinSF1+BsmtFinType2+BsmtFinSF2+BsmtUnfSF+TotalBsmtSF+Heating+HeatingQC+CentralAir+Electrical+firstFlrSf+secondFlrSf+LowQualFinSF+GrLivArea+C(BsmtFullBath)+C(BsmtHalfBath)+C(FullBath)+C(HalfBath)+C(BedroomAbvGr)+C(KitchenAbvGr)+KitchenQual+C(TotRmsAbvGrd)+Functional+C(Fireplaces)+GarageType+C(GarageYrBlt)+GarageFinish+C(GarageCars)+GarageArea+GarageQual+GarageCond+PavedDrive+WoodDeckSF+OpenPorchSF+EnclosedPorch+threeSsnPorch+ScreenPorch+PoolArea+MiscVal+C(MoSold)+C(YrSold)+SaleType+SaleCondition',data=train)
reg_result=reg.fit()
print(reg_result.summary())
OLS Regression Results
==============================================================================
Dep. Variable: SalePrice R-squared: 0.950
Model: OLS Adj. R-squared: 0.920
Method: Least Squares F-statistic: 31.37
Date: Wed, 11 Dec 2019 Prob (F-statistic): 0.00
Time: 22:50:33 Log-Likelihood: -16352.
No. Observations: 1460 AIC: 3.381e+04
Df Residuals: 906 BIC: 3.674e+04
Df Model: 553
Covariance Type: nonrobust
============================================================================================
coef std err t P>|t| [0.025 0.975]
--------------------------------------------------------------------------------------------
Intercept -6.81e+05 1.04e+05 -6.567 0.000 -8.84e+05 -4.77e+05
C(MSSubClass)[T.30] -9011.7991 6930.994 -1.300 0.194 -2.26e+04 4590.871
C(MSSubClass)[T.40] -1600.6152 1.8e+04 -0.089 0.929 -3.69e+04 3.37e+04
C(MSSubClass)[T.45] -7422.8618 3.27e+04 -0.227 0.821 -7.16e+04 5.68e+04
C(MSSubClass)[T.50] -1.036e+04 1.12e+04 -0.928 0.354 -3.23e+04 1.16e+04
C(MSSubClass)[T.60] -1324.5123 9849.823 -0.134 0.893 -2.07e+04 1.8e+04
C(MSSubClass)[T.70] -7546.2046 1.13e+04 -0.670 0.503 -2.96e+04 1.46e+04
C(MSSubClass)[T.75] -1.415e+04 2.55e+04 -0.555 0.579 -6.42e+04 3.59e+04
C(MSSubClass)[T.80] -1.183e+04 1.47e+04 -0.805 0.421 -4.07e+04 1.7e+04
C(MSSubClass)[T.85] -1.442e+04 1.43e+04 -1.010 0.313 -4.24e+04 1.36e+04
C(MSSubClass)[T.90] -9391.6355 5490.504 -1.711 0.088 -2.02e+04 1383.950
C(MSSubClass)[T.120] -2.37e+04 1.7e+04 -1.392 0.164 -5.71e+04 9712.894
C(MSSubClass)[T.160] -2.461e+04 2.05e+04 -1.198 0.231 -6.49e+04 1.57e+04
C(MSSubClass)[T.180] -3.123e+04 2.31e+04 -1.351 0.177 -7.66e+04 1.41e+04
C(MSSubClass)[T.190] 2.677e+04 5.31e+04 0.504 0.615 -7.75e+04 1.31e+05
MSZoning[T.FV] 4.461e+04 1.56e+04 2.852 0.004 1.39e+04 7.53e+04
MSZoning[T.RH] 2.97e+04 1.69e+04 1.762 0.078 -3377.025 6.28e+04
MSZoning[T.RL] 4.109e+04 1.41e+04 2.916 0.004 1.34e+04 6.87e+04
MSZoning[T.RM] 3.344e+04 1.35e+04 2.484 0.013 7016.590 5.99e+04
Street[T.Pave] 2.047e+04 1.6e+04 1.282 0.200 -1.09e+04 5.18e+04
LotShape[T.IR2] 2201.4910 4715.110 0.467 0.641 -7052.316 1.15e+04
LotShape[T.IR3] 1.088e+04 9564.191 1.138 0.255 -7885.730 2.97e+04
LotShape[T.Reg] 2437.5829 1853.456 1.315 0.189 -1199.983 6075.149
LandContour[T.HLS] 7933.3040 6399.843 1.240 0.215 -4626.937 2.05e+04
LandContour[T.Low] -1624.0072 8113.318 -0.200 0.841 -1.75e+04 1.43e+04
LandContour[T.Lvl] 5282.5613 4935.196 1.070 0.285 -4403.185 1.5e+04
Utilities[T.NoSeWa] -3.823e+04 3.12e+04 -1.225 0.221 -9.95e+04 2.3e+04
LotConfig[T.CulDSac] 9707.8959 3823.492 2.539 0.011 2203.966 1.72e+04
LotConfig[T.FR2] -8008.2885 4448.705 -1.800 0.072 -1.67e+04 722.678
LotConfig[T.FR3] -2.121e+04 1.34e+04 -1.582 0.114 -4.75e+04 5102.331
LotConfig[T.Inside] -1537.7753 2090.649 -0.736 0.462 -5640.854 2565.303
LandSlope[T.Mod] 6110.9249 4875.917 1.253 0.210 -3458.480 1.57e+04
LandSlope[T.Sev] -3.949e+04 1.45e+04 -2.719 0.007 -6.8e+04 -1.1e+04
Neighborhood[T.Blueste] -3066.0449 2.31e+04 -0.133 0.894 -4.83e+04 4.22e+04
Neighborhood[T.BrDale] 3473.3310 1.38e+04 0.253 0.801 -2.35e+04 3.05e+04
Neighborhood[T.BrkSide] -5587.8201 1.12e+04 -0.499 0.618 -2.76e+04 1.64e+04
Neighborhood[T.ClearCr] -7459.0906 1.07e+04 -0.696 0.486 -2.85e+04 1.36e+04
Neighborhood[T.CollgCr] -9356.7554 8252.288 -1.134 0.257 -2.56e+04 6839.069
Neighborhood[T.Crawfor] 1.06e+04 1.02e+04 1.038 0.299 -9439.111 3.06e+04
Neighborhood[T.Edwards] -1.985e+04 9141.110 -2.172 0.030 -3.78e+04 -1913.597
Neighborhood[T.Gilbert] -6685.9569 8755.555 -0.764 0.445 -2.39e+04 1.05e+04
Neighborhood[T.IDOTRR] -1.263e+04 1.32e+04 -0.957 0.339 -3.85e+04 1.33e+04
Neighborhood[T.MeadowV] -1.084e+04 1.47e+04 -0.738 0.461 -3.97e+04 1.8e+04
Neighborhood[T.Mitchel] -1.915e+04 9501.588 -2.015 0.044 -3.78e+04 -501.826
Neighborhood[T.NAmes] -1.508e+04 9088.134 -1.659 0.097 -3.29e+04 2760.016
Neighborhood[T.NPkVill] 1.925e+04 1.56e+04 1.232 0.218 -1.14e+04 4.99e+04
Neighborhood[T.NWAmes] -1.271e+04 9443.321 -1.346 0.179 -3.12e+04 5825.304
Neighborhood[T.NoRidge] 1.817e+04 9810.297 1.852 0.064 -1081.827 3.74e+04
Neighborhood[T.NridgHt] 1.467e+04 8307.068 1.766 0.078 -1636.185 3.1e+04
Neighborhood[T.OldTown] -9609.6623 1.15e+04 -0.835 0.404 -3.22e+04 1.3e+04
Neighborhood[T.SWISU] -1.356e+04 1.21e+04 -1.123 0.262 -3.73e+04 1.01e+04
Neighborhood[T.Sawyer] -1.198e+04 9558.974 -1.253 0.210 -3.07e+04 6781.344
Neighborhood[T.SawyerW] -5243.9689 9104.653 -0.576 0.565 -2.31e+04 1.26e+04
Neighborhood[T.Somerst] 1141.2600 1e+04 0.114 0.909 -1.85e+04 2.08e+04
Neighborhood[T.StoneBr] 3.084e+04 9623.186 3.205 0.001 1.2e+04 4.97e+04
Neighborhood[T.Timber] -1.04e+04 9152.738 -1.136 0.256 -2.84e+04 7565.698
Neighborhood[T.Veenker] 4611.3127 1.22e+04 0.377 0.707 -1.94e+04 2.86e+04
Condition1[T.Feedr] 9401.1198 6692.913 1.405 0.160 -3734.297 2.25e+04
Condition1[T.Norm] 1.737e+04 5690.016 3.054 0.002 6207.603 2.85e+04
Condition1[T.PosA] 2.07e+04 1.21e+04 1.711 0.087 -3040.850 4.44e+04
Condition1[T.PosN] 1.289e+04 8890.914 1.450 0.147 -4555.385 3.03e+04
Condition1[T.RRAe] -1.22e+04 1.11e+04 -1.101 0.271 -3.39e+04 9546.882
Condition1[T.RRAn] 1.05e+04 8227.323 1.276 0.202 -5650.563 2.66e+04
Condition1[T.RRNe] 4222.6732 1.95e+04 0.216 0.829 -3.41e+04 4.25e+04
Condition1[T.RRNn] 1.765e+04 1.44e+04 1.230 0.219 -1.05e+04 4.58e+04
Condition2[T.Feedr] 4.037e+04 3.52e+04 1.148 0.251 -2.86e+04 1.09e+05
Condition2[T.Norm] 2.355e+04 3.12e+04 0.754 0.451 -3.78e+04 8.49e+04
Condition2[T.PosA] 1433.4498 2.59e+04 0.055 0.956 -4.94e+04 5.22e+04
Condition2[T.PosN] -2.282e+05 3.78e+04 -6.040 0.000 -3.02e+05 -1.54e+05
Condition2[T.RRAe] -8.549e+04 6.64e+04 -1.287 0.198 -2.16e+05 4.48e+04
Condition2[T.RRAn] 1.309e+04 4.08e+04 0.321 0.748 -6.7e+04 9.32e+04
Condition2[T.RRNn] 4.23e+04 4.18e+04 1.012 0.312 -3.97e+04 1.24e+05
BldgType[T.2fmCon] -4.282e+04 5.32e+04 -0.806 0.421 -1.47e+05 6.15e+04
BldgType[T.Duplex] -9391.6355 5490.504 -1.711 0.088 -2.02e+04 1383.949
BldgType[T.Twnhs] 5838.6646 1.82e+04 0.321 0.748 -2.98e+04 4.15e+04
BldgType[T.TwnhsE] 7207.8086 1.73e+04 0.416 0.677 -2.68e+04 4.12e+04
HouseStyle[T.1.5Unf] 1.036e+04 3.22e+04 0.322 0.748 -5.29e+04 7.36e+04
HouseStyle[T.1Story] 964.3357 1.11e+04 0.087 0.931 -2.09e+04 2.28e+04
HouseStyle[T.2.5Fin] -3.948e+04 2.92e+04 -1.354 0.176 -9.67e+04 1.77e+04
HouseStyle[T.2.5Unf] 3664.1140 2.75e+04 0.133 0.894 -5.02e+04 5.76e+04
HouseStyle[T.2Story] -1.066e+04 1.08e+04 -0.990 0.322 -3.18e+04 1.05e+04
HouseStyle[T.SFoyer] 7597.7588 1.55e+04 0.491 0.623 -2.27e+04 3.79e+04
HouseStyle[T.SLvl] 8617.3608 1.66e+04 0.521 0.603 -2.39e+04 4.11e+04
C(OverallQual)[T.2] -1.728e+04 2.83e+04 -0.610 0.542 -7.29e+04 3.83e+04
C(OverallQual)[T.3] -1.581e+04 2.35e+04 -0.672 0.502 -6.19e+04 3.03e+04
C(OverallQual)[T.4] -2.054e+04 2.23e+04 -0.920 0.358 -6.44e+04 2.33e+04
C(OverallQual)[T.5] -2.082e+04 2.25e+04 -0.925 0.355 -6.5e+04 2.33e+04
C(OverallQual)[T.6] -1.766e+04 2.25e+04 -0.785 0.433 -6.18e+04 2.65e+04
C(OverallQual)[T.7] -1.317e+04 2.25e+04 -0.585 0.558 -5.73e+04 3.1e+04
C(OverallQual)[T.8] -1324.6514 2.28e+04 -0.058 0.954 -4.6e+04 4.33e+04
C(OverallQual)[T.9] 2.733e+04 2.35e+04 1.163 0.245 -1.88e+04 7.34e+04
C(OverallQual)[T.10] 6.691e+04 2.49e+04 2.688 0.007 1.81e+04 1.16e+05
C(OverallCond)[T.2] -8.136e+04 3.02e+04 -2.692 0.007 -1.41e+05 -2.2e+04
C(OverallCond)[T.3] -8.416e+04 1.76e+04 -4.785 0.000 -1.19e+05 -4.96e+04
C(OverallCond)[T.4] -7.025e+04 1.69e+04 -4.166 0.000 -1.03e+05 -3.72e+04
C(OverallCond)[T.5] -6.561e+04 1.69e+04 -3.874 0.000 -9.89e+04 -3.24e+04
C(OverallCond)[T.6] -5.892e+04 1.7e+04 -3.458 0.001 -9.24e+04 -2.55e+04
C(OverallCond)[T.7] -5.182e+04 1.69e+04 -3.060 0.002 -8.51e+04 -1.86e+04
C(OverallCond)[T.8] -4.914e+04 1.7e+04 -2.884 0.004 -8.26e+04 -1.57e+04
C(OverallCond)[T.9] -3.952e+04 1.76e+04 -2.248 0.025 -7.4e+04 -5022.958
C(YearBuilt)[T.1875] -3.309e+04 2.61e+04 -1.269 0.205 -8.43e+04 1.81e+04
C(YearBuilt)[T.1880] -3.842e+04 2.03e+04 -1.888 0.059 -7.83e+04 1507.721
C(YearBuilt)[T.1882] -1.389e+04 3.6e+04 -0.386 0.700 -8.46e+04 5.68e+04
C(YearBuilt)[T.1885] -2.724e+04 2.51e+04 -1.086 0.278 -7.65e+04 2.2e+04
C(YearBuilt)[T.1890] -6.577e+04 2.22e+04 -2.964 0.003 -1.09e+05 -2.22e+04
C(YearBuilt)[T.1892] -6.515e+04 3.63e+04 -1.795 0.073 -1.36e+05 6072.400
C(YearBuilt)[T.1893] 1433.4498 2.59e+04 0.055 0.956 -4.94e+04 5.22e+04
C(YearBuilt)[T.1898] -1.307e+05 5.53e+04 -2.362 0.018 -2.39e+05 -2.21e+04
C(YearBuilt)[T.1900] -2.984e+04 1.2e+04 -2.490 0.013 -5.34e+04 -6319.597
C(YearBuilt)[T.1904] 5025.8778 3.45e+04 0.146 0.884 -6.28e+04 7.28e+04
C(YearBuilt)[T.1905] -3.448e+04 3.19e+04 -1.080 0.280 -9.71e+04 2.81e+04
C(YearBuilt)[T.1906] 1321.7429 2.35e+04 0.056 0.955 -4.48e+04 4.74e+04
C(YearBuilt)[T.1908] -3.499e+04 4.17e+04 -0.838 0.402 -1.17e+05 4.69e+04
C(YearBuilt)[T.1910] -2.734e+04 9635.627 -2.838 0.005 -4.63e+04 -8430.565
C(YearBuilt)[T.1911] -2.682e+04 2.81e+04 -0.955 0.340 -8.19e+04 2.83e+04
C(YearBuilt)[T.1912] 9638.6491 2.2e+04 0.437 0.662 -3.36e+04 5.29e+04
C(YearBuilt)[T.1913] -4.623e+04 3.45e+04 -1.341 0.180 -1.14e+05 2.14e+04
C(YearBuilt)[T.1914] -7548.1507 1.62e+04 -0.465 0.642 -3.94e+04 2.43e+04
C(YearBuilt)[T.1915] -9174.7084 1.26e+04 -0.729 0.466 -3.39e+04 1.55e+04
C(YearBuilt)[T.1916] 7970.5402 1.92e+04 0.416 0.678 -2.96e+04 4.56e+04
C(YearBuilt)[T.1917] 1.877e+04 4.31e+04 0.435 0.663 -6.58e+04 1.03e+05
C(YearBuilt)[T.1918] -3502.4223 1.52e+04 -0.231 0.818 -3.33e+04 2.63e+04
C(YearBuilt)[T.1919] -1.154e+04 2.07e+04 -0.556 0.578 -5.22e+04 2.92e+04
C(YearBuilt)[T.1920] -1.349e+04 9583.177 -1.408 0.160 -3.23e+04 5317.986
C(YearBuilt)[T.1921] -6067.1760 2.06e+04 -0.294 0.769 -4.66e+04 3.45e+04
C(YearBuilt)[T.1922] -1.349e+04 1.71e+04 -0.791 0.429 -4.7e+04 2e+04
C(YearBuilt)[T.1923] 621.7180 1.62e+04 0.038 0.969 -3.12e+04 3.24e+04
C(YearBuilt)[T.1924] -4666.6722 1.53e+04 -0.305 0.761 -3.47e+04 2.54e+04
C(YearBuilt)[T.1925] -5667.1018 1.06e+04 -0.535 0.593 -2.65e+04 1.51e+04
C(YearBuilt)[T.1926] -4489.3247 2.17e+04 -0.207 0.836 -4.71e+04 3.81e+04
C(YearBuilt)[T.1927] -3.54e+04 2.74e+04 -1.290 0.197 -8.93e+04 1.85e+04
C(YearBuilt)[T.1928] -4998.4858 1.58e+04 -0.317 0.751 -3.59e+04 2.59e+04
C(YearBuilt)[T.1929] -8423.4879 1.75e+04 -0.480 0.631 -4.28e+04 2.6e+04
C(YearBuilt)[T.1930] -6582.5760 1.21e+04 -0.544 0.586 -3.03e+04 1.72e+04
C(YearBuilt)[T.1931] -7670.9008 1.66e+04 -0.462 0.644 -4.03e+04 2.49e+04
C(YearBuilt)[T.1932] 2.155e+04 1.85e+04 1.163 0.245 -1.48e+04 5.79e+04
C(YearBuilt)[T.1934] -7196.0905 2.07e+04 -0.347 0.729 -4.79e+04 3.35e+04
C(YearBuilt)[T.1935] -1.021e+04 1.49e+04 -0.685 0.494 -3.95e+04 1.9e+04
C(YearBuilt)[T.1936] 9504.3095 1.65e+04 0.575 0.565 -2.29e+04 4.19e+04
C(YearBuilt)[T.1937] -1.162e+04 1.62e+04 -0.718 0.473 -4.34e+04 2.01e+04
C(YearBuilt)[T.1938] -1.522e+04 1.92e+04 -0.792 0.429 -5.29e+04 2.25e+04
C(YearBuilt)[T.1939] 6475.0641 2.03e+04 0.320 0.749 -3.33e+04 4.62e+04
C(YearBuilt)[T.1940] -1.437e+04 1.2e+04 -1.196 0.232 -3.8e+04 9212.770
C(YearBuilt)[T.1941] -5356.1563 1.37e+04 -0.392 0.695 -3.22e+04 2.15e+04
C(YearBuilt)[T.1942] 1.111e+04 2.19e+04 0.507 0.612 -3.19e+04 5.41e+04
C(YearBuilt)[T.1945] 1.128e+04 1.46e+04 0.774 0.439 -1.73e+04 3.99e+04
C(YearBuilt)[T.1946] -6.823e+04 2.57e+04 -2.653 0.008 -1.19e+05 -1.78e+04
C(YearBuilt)[T.1947] -2.371e+04 1.55e+04 -1.526 0.127 -5.42e+04 6775.415
C(YearBuilt)[T.1948] -1.014e+04 1.37e+04 -0.742 0.458 -3.7e+04 1.67e+04
C(YearBuilt)[T.1949] 718.6304 1.14e+04 0.063 0.950 -2.16e+04 2.3e+04
C(YearBuilt)[T.1950] -5702.2265 1.06e+04 -0.536 0.592 -2.66e+04 1.52e+04
C(YearBuilt)[T.1951] -5288.3542 2.25e+04 -0.235 0.814 -4.94e+04 3.88e+04
C(YearBuilt)[T.1952] 1.495e+04 1.34e+04 1.114 0.266 -1.14e+04 4.13e+04
C(YearBuilt)[T.1953] 5747.6350 3.5e+04 0.164 0.870 -6.3e+04 7.45e+04
C(YearBuilt)[T.1954] -8657.3365 1.17e+04 -0.742 0.458 -3.16e+04 1.42e+04
C(YearBuilt)[T.1955] -1.004e+04 1.4e+04 -0.720 0.472 -3.74e+04 1.73e+04
C(YearBuilt)[T.1956] -1.821e+04 1.87e+04 -0.973 0.331 -5.49e+04 1.85e+04
C(YearBuilt)[T.1957] -1.959e+04 1.5e+04 -1.303 0.193 -4.91e+04 9927.381
C(YearBuilt)[T.1958] -6264.5467 1.17e+04 -0.537 0.591 -2.92e+04 1.66e+04
C(YearBuilt)[T.1959] -385.0866 1.24e+04 -0.031 0.975 -2.48e+04 2.4e+04
C(YearBuilt)[T.1960] 1940.0693 1.68e+04 0.115 0.908 -3.1e+04 3.49e+04
C(YearBuilt)[T.1961] -1.068e+04 1.44e+04 -0.742 0.458 -3.89e+04 1.76e+04
C(YearBuilt)[T.1962] -2.574e+04 1.57e+04 -1.634 0.103 -5.66e+04 5166.494
C(YearBuilt)[T.1963] 8583.0274 1.86e+04 0.462 0.644 -2.79e+04 4.51e+04
C(YearBuilt)[T.1964] -3.507e+04 1.72e+04 -2.042 0.041 -6.88e+04 -1362.287
C(YearBuilt)[T.1965] -3717.2796 1.44e+04 -0.259 0.796 -3.19e+04 2.45e+04
C(YearBuilt)[T.1966] -1.385e+04 2.06e+04 -0.673 0.501 -5.42e+04 2.65e+04
C(YearBuilt)[T.1967] 5812.3820 2e+04 0.291 0.771 -3.34e+04 4.51e+04
C(YearBuilt)[T.1968] -2.091e+04 1.66e+04 -1.257 0.209 -5.35e+04 1.17e+04
C(YearBuilt)[T.1969] 3.99e+04 4.16e+04 0.960 0.337 -4.17e+04 1.21e+05
C(YearBuilt)[T.1970] -1.573e+04 1.35e+04 -1.169 0.243 -4.21e+04 1.07e+04
C(YearBuilt)[T.1971] -1522.8175 1.89e+04 -0.081 0.936 -3.85e+04 3.55e+04
C(YearBuilt)[T.1972] 1091.0037 1.31e+04 0.083 0.934 -2.47e+04 2.68e+04
C(YearBuilt)[T.1973] -2.142e+04 2.56e+04 -0.837 0.403 -7.16e+04 2.88e+04
C(YearBuilt)[T.1974] 6157.0836 1.53e+04 0.403 0.687 -2.39e+04 3.62e+04
C(YearBuilt)[T.1975] 5255.6613 1.69e+04 0.310 0.756 -2.8e+04 3.85e+04
C(YearBuilt)[T.1976] -2.03e+04 1.54e+04 -1.314 0.189 -5.06e+04 1e+04
C(YearBuilt)[T.1977] 5236.7361 1.37e+04 0.381 0.703 -2.17e+04 3.22e+04
C(YearBuilt)[T.1978] -1.186e+04 1.77e+04 -0.670 0.503 -4.66e+04 2.29e+04
C(YearBuilt)[T.1979] 9247.1910 2.46e+04 0.375 0.708 -3.91e+04 5.76e+04
C(YearBuilt)[T.1980] 1926.8206 1.97e+04 0.098 0.922 -3.67e+04 4.05e+04
C(YearBuilt)[T.1981] -9919.5407 2.38e+04 -0.416 0.677 -5.67e+04 3.69e+04
C(YearBuilt)[T.1982] 2776.4843 1.49e+04 0.186 0.852 -2.65e+04 3.2e+04
C(YearBuilt)[T.1983] 2.18e+04 2.83e+04 0.770 0.442 -3.38e+04 7.74e+04
C(YearBuilt)[T.1984] 4991.5422 3.46e+04 0.144 0.885 -6.28e+04 7.28e+04
C(YearBuilt)[T.1985] 3989.5255 2.17e+04 0.184 0.854 -3.86e+04 4.66e+04
C(YearBuilt)[T.1986] 4961.7485 2.13e+04 0.233 0.815 -3.68e+04 4.67e+04
C(YearBuilt)[T.1987] 1.106e+04 2.51e+04 0.440 0.660 -3.83e+04 6.04e+04
C(YearBuilt)[T.1988] 2.05e+04 2.02e+04 1.016 0.310 -1.91e+04 6.01e+04
C(YearBuilt)[T.1989] 3.117e+04 2.06e+04 1.514 0.130 -9222.873 7.16e+04
C(YearBuilt)[T.1990] 8476.7599 1.85e+04 0.459 0.646 -2.77e+04 4.47e+04
C(YearBuilt)[T.1991] -4752.7802 1.76e+04 -0.270 0.788 -3.94e+04 2.99e+04
C(YearBuilt)[T.1992] 1.529e+04 2.21e+04 0.691 0.490 -2.82e+04 5.87e+04
C(YearBuilt)[T.1993] -1374.0340 1.94e+04 -0.071 0.944 -3.94e+04 3.67e+04
C(YearBuilt)[T.1994] -783.3488 1.24e+04 -0.063 0.949 -2.5e+04 2.35e+04
C(YearBuilt)[T.1995] 1.855e+04 1.41e+04 1.320 0.187 -9022.700 4.61e+04
C(YearBuilt)[T.1996] 1.295e+04 1.35e+04 0.957 0.339 -1.36e+04 3.95e+04
C(YearBuilt)[T.1997] 1.268e+04 1.51e+04 0.841 0.401 -1.69e+04 4.23e+04
C(YearBuilt)[T.1998] 2.93e+04 1.59e+04 1.845 0.065 -1858.797 6.05e+04
C(YearBuilt)[T.1999] 1.101e+04 1.74e+04 0.633 0.527 -2.31e+04 4.51e+04
C(YearBuilt)[T.2000] 1.587e+04 2.1e+04 0.755 0.450 -2.54e+04 5.71e+04
C(YearBuilt)[T.2001] 2.432e+04 1.99e+04 1.220 0.223 -1.48e+04 6.34e+04
C(YearBuilt)[T.2002] 1.597e+04 1.93e+04 0.829 0.407 -2.18e+04 5.38e+04
C(YearBuilt)[T.2003] 4009.9205 1.44e+04 0.278 0.781 -2.43e+04 3.23e+04
C(YearBuilt)[T.2004] -2346.8508 1.62e+04 -0.144 0.885 -3.42e+04 2.95e+04
C(YearBuilt)[T.2005] 1.6e+04 1.35e+04 1.188 0.235 -1.04e+04 4.24e+04
C(YearBuilt)[T.2006] 3941.6493 1.33e+04 0.297 0.766 -2.21e+04 3e+04
C(YearBuilt)[T.2007] 2.273e+04 1.39e+04 1.636 0.102 -4531.803 5e+04
C(YearBuilt)[T.2008] 3.033e+04 1.65e+04 1.839 0.066 -2033.898 6.27e+04
C(YearBuilt)[T.2009] -9034.3356 2.12e+04 -0.425 0.671 -5.07e+04 3.26e+04
C(YearBuilt)[T.2010] -5664.6386 4.83e+04 -0.117 0.907 -1e+05 8.9e+04
C(YearRemodAdd)[T.1951] 8328.1193 2.62e+04 0.318 0.751 -4.31e+04 5.98e+04
C(YearRemodAdd)[T.1952] 1.495e+04 1.34e+04 1.114 0.266 -1.14e+04 4.13e+04
C(YearRemodAdd)[T.1953] 9605.0955 1.78e+04 0.538 0.591 -2.54e+04 4.46e+04
C(YearRemodAdd)[T.1954] 4635.8216 1.23e+04 0.376 0.707 -1.95e+04 2.88e+04
C(YearRemodAdd)[T.1955] 1.332e+04 1.45e+04 0.920 0.358 -1.51e+04 4.17e+04
C(YearRemodAdd)[T.1956] 6409.8127 1.75e+04 0.367 0.714 -2.79e+04 4.07e+04
C(YearRemodAdd)[T.1957] 1.201e+04 1.26e+04 0.954 0.340 -1.27e+04 3.67e+04
C(YearRemodAdd)[T.1958] -3144.9269 1.15e+04 -0.274 0.784 -2.56e+04 1.94e+04
C(YearRemodAdd)[T.1959] -3776.7062 1.18e+04 -0.320 0.749 -2.7e+04 1.94e+04
C(YearRemodAdd)[T.1960] -2570.8777 1.32e+04 -0.195 0.845 -2.84e+04 2.33e+04
C(YearRemodAdd)[T.1961] 1.248e+04 1.6e+04 0.782 0.434 -1.88e+04 4.38e+04
C(YearRemodAdd)[T.1962] 3.335e+04 1.6e+04 2.084 0.037 1947.370 6.47e+04
C(YearRemodAdd)[T.1963] -1.517e+04 1.96e+04 -0.774 0.439 -5.37e+04 2.33e+04
C(YearRemodAdd)[T.1964] 1.26e+04 1.67e+04 0.756 0.450 -2.01e+04 4.53e+04
C(YearRemodAdd)[T.1965] 1342.3652 1.32e+04 0.102 0.919 -2.46e+04 2.73e+04
C(YearRemodAdd)[T.1966] 1.134e+04 1.58e+04 0.719 0.473 -1.96e+04 4.23e+04
C(YearRemodAdd)[T.1967] 6476.9164 1.61e+04 0.402 0.688 -2.52e+04 3.81e+04
C(YearRemodAdd)[T.1968] 2.382e+04 1.3e+04 1.826 0.068 -1783.730 4.94e+04
C(YearRemodAdd)[T.1969] -995.4748 1.89e+04 -0.053 0.958 -3.8e+04 3.6e+04
C(YearRemodAdd)[T.1970] 1.935e+04 1.21e+04 1.602 0.109 -4350.298 4.3e+04
C(YearRemodAdd)[T.1971] 7319.2779 1.76e+04 0.415 0.678 -2.73e+04 4.19e+04
C(YearRemodAdd)[T.1972] -7215.4379 1.09e+04 -0.663 0.508 -2.86e+04 1.42e+04
C(YearRemodAdd)[T.1973] 997.0939 1.93e+04 0.052 0.959 -3.69e+04 3.89e+04
C(YearRemodAdd)[T.1974] 1.062e+04 1.54e+04 0.690 0.490 -1.96e+04 4.08e+04
C(YearRemodAdd)[T.1975] -176.8140 1.86e+04 -0.009 0.992 -3.67e+04 3.64e+04
C(YearRemodAdd)[T.1976] 1.852e+04 1.25e+04 1.478 0.140 -6080.181 4.31e+04
C(YearRemodAdd)[T.1977] -1310.3018 1.27e+04 -0.103 0.918 -2.63e+04 2.36e+04
C(YearRemodAdd)[T.1978] 2.048e+04 1.44e+04 1.418 0.157 -7870.244 4.88e+04
C(YearRemodAdd)[T.1979] -4629.8979 2.21e+04 -0.210 0.834 -4.79e+04 3.87e+04
C(YearRemodAdd)[T.1980] 2599.7405 1.71e+04 0.152 0.879 -3.1e+04 3.62e+04
C(YearRemodAdd)[T.1981] 5521.3472 1.57e+04 0.352 0.725 -2.53e+04 3.63e+04
C(YearRemodAdd)[T.1982] 512.1720 1.33e+04 0.038 0.969 -2.57e+04 2.67e+04
C(YearRemodAdd)[T.1983] 510.6986 1.8e+04 0.028 0.977 -3.48e+04 3.58e+04
C(YearRemodAdd)[T.1984] 1.159e+04 1.49e+04 0.780 0.436 -1.76e+04 4.08e+04
C(YearRemodAdd)[T.1985] 7875.7497 1.69e+04 0.466 0.642 -2.53e+04 4.11e+04
C(YearRemodAdd)[T.1986] 1.19e+04 2.07e+04 0.574 0.566 -2.88e+04 5.26e+04
C(YearRemodAdd)[T.1987] 7878.8312 1.25e+04 0.628 0.530 -1.67e+04 3.25e+04
C(YearRemodAdd)[T.1988] 7786.1675 1.21e+04 0.642 0.521 -1.6e+04 3.16e+04
C(YearRemodAdd)[T.1989] -778.8156 1.16e+04 -0.067 0.946 -2.35e+04 2.19e+04
C(YearRemodAdd)[T.1990] 6162.3026 1.06e+04 0.583 0.560 -1.46e+04 2.69e+04
C(YearRemodAdd)[T.1991] 8561.0775 1.17e+04 0.731 0.465 -1.44e+04 3.16e+04
C(YearRemodAdd)[T.1992] 5975.3632 1.01e+04 0.594 0.553 -1.38e+04 2.57e+04
C(YearRemodAdd)[T.1993] 7097.7870 9469.271 0.750 0.454 -1.15e+04 2.57e+04
C(YearRemodAdd)[T.1994] 9913.2038 8066.936 1.229 0.219 -5918.850 2.57e+04
C(YearRemodAdd)[T.1995] 1.208e+04 7519.493 1.606 0.109 -2678.715 2.68e+04
C(YearRemodAdd)[T.1996] 1.491e+04 7267.522 2.052 0.040 648.925 2.92e+04
C(YearRemodAdd)[T.1997] 6657.1527 8313.919 0.801 0.424 -9659.626 2.3e+04
C(YearRemodAdd)[T.1998] 7534.5308 8239.242 0.914 0.361 -8635.688 2.37e+04
C(YearRemodAdd)[T.1999] 1.417e+04 8373.739 1.692 0.091 -2264.157 3.06e+04
C(YearRemodAdd)[T.2000] 6784.3494 6925.925 0.980 0.328 -6808.373 2.04e+04
C(YearRemodAdd)[T.2001] 1.084e+04 8161.358 1.328 0.184 -5175.234 2.69e+04
C(YearRemodAdd)[T.2002] 7596.8387 7082.650 1.073 0.284 -6303.469 2.15e+04
C(YearRemodAdd)[T.2003] 5117.1228 6983.039 0.733 0.464 -8587.690 1.88e+04
C(YearRemodAdd)[T.2004] 6751.1358 6693.475 1.009 0.313 -6385.383 1.99e+04
C(YearRemodAdd)[T.2005] 2430.6296 6408.756 0.379 0.705 -1.01e+04 1.5e+04
C(YearRemodAdd)[T.2006] 2686.8022 6170.163 0.435 0.663 -9422.673 1.48e+04
C(YearRemodAdd)[T.2007] 8068.5273 6671.305 1.209 0.227 -5024.481 2.12e+04
C(YearRemodAdd)[T.2008] 1.381e+04 9090.992 1.519 0.129 -4029.024 3.17e+04
C(YearRemodAdd)[T.2009] 6112.1380 1.53e+04 0.401 0.689 -2.38e+04 3.61e+04
C(YearRemodAdd)[T.2010] 5.759e+04 1.91e+04 3.009 0.003 2e+04 9.52e+04
RoofStyle[T.Gable] -1.291e+04 2.3e+04 -0.562 0.574 -5.8e+04 3.21e+04
RoofStyle[T.Gambrel] -1.373e+04 2.55e+04 -0.538 0.590 -6.38e+04 3.63e+04
RoofStyle[T.Hip] -1.257e+04 2.3e+04 -0.547 0.585 -5.77e+04 3.25e+04
RoofStyle[T.Mansard] -1.119e+04 2.73e+04 -0.411 0.682 -6.47e+04 4.23e+04
RoofStyle[T.Shed] 6.643e+04 4.79e+04 1.387 0.166 -2.75e+04 1.6e+05
RoofMatl[T.CompShg] 7.131e+05 4.25e+04 16.773 0.000 6.3e+05 7.97e+05
RoofMatl[T.Membran] 7.733e+05 5.84e+04 13.240 0.000 6.59e+05 8.88e+05
RoofMatl[T.Metal] 7.418e+05 5.68e+04 13.055 0.000 6.3e+05 8.53e+05
RoofMatl[T.Roll] 6.993e+05 5.19e+04 13.474 0.000 5.97e+05 8.01e+05
RoofMatl[T.Tar&Grv] 6.948e+05 4.79e+04 14.503 0.000 6.01e+05 7.89e+05
RoofMatl[T.WdShake] 7.167e+05 4.69e+04 15.294 0.000 6.25e+05 8.09e+05
RoofMatl[T.WdShngl] 7.641e+05 4.44e+04 17.202 0.000 6.77e+05 8.51e+05
Exterior1st[T.AsphShn] -1.266e+04 4.01e+04 -0.315 0.753 -9.15e+04 6.61e+04
Exterior1st[T.BrkComm] -1.137e+04 3.64e+04 -0.313 0.755 -8.28e+04 6e+04
Exterior1st[T.BrkFace] 1.218e+04 1.94e+04 0.629 0.529 -2.58e+04 5.02e+04
Exterior1st[T.CBlock] -1.305e+04 1.81e+04 -0.720 0.472 -4.86e+04 2.25e+04
Exterior1st[T.CemntBd] 1.429e+04 2.73e+04 0.524 0.601 -3.93e+04 6.78e+04
Exterior1st[T.HdBoard] -4728.9811 2e+04 -0.236 0.813 -4.4e+04 3.46e+04
Exterior1st[T.ImStucc] -5.023e+04 3.22e+04 -1.562 0.119 -1.13e+05 1.29e+04
Exterior1st[T.MetalSd] 5668.1626 2.14e+04 0.265 0.791 -3.63e+04 4.76e+04
Exterior1st[T.Plywood] -3540.1988 1.98e+04 -0.179 0.858 -4.23e+04 3.52e+04
Exterior1st[T.Stone] -1.452e+04 3.17e+04 -0.457 0.647 -7.68e+04 4.78e+04
Exterior1st[T.Stucco] -4601.9355 2.23e+04 -0.206 0.837 -4.84e+04 3.92e+04
Exterior1st[T.VinylSd] -1.524e+04 2.1e+04 -0.726 0.468 -5.65e+04 2.6e+04
Exterior1st[T.Wd Sdng] -3284.9130 1.91e+04 -0.172 0.864 -4.09e+04 3.43e+04
Exterior1st[T.WdShing] -947.7335 2.07e+04 -0.046 0.963 -4.16e+04 3.97e+04
Exterior2nd[T.AsphShn] 4380.9659 2.91e+04 0.150 0.881 -5.28e+04 6.16e+04
Exterior2nd[T.Brk Cmn] -9608.8649 2.58e+04 -0.373 0.709 -6.02e+04 4.1e+04
Exterior2nd[T.BrkFace] -5481.1045 1.85e+04 -0.296 0.767 -4.19e+04 3.09e+04
Exterior2nd[T.CBlock] -1.305e+04 1.81e+04 -0.720 0.472 -4.86e+04 2.25e+04
Exterior2nd[T.CmentBd] -1.109e+04 2.6e+04 -0.427 0.669 -6.2e+04 3.98e+04
Exterior2nd[T.HdBoard] -2112.1211 1.83e+04 -0.115 0.908 -3.8e+04 3.38e+04
Exterior2nd[T.ImStucc] 1.443e+04 1.98e+04 0.729 0.466 -2.44e+04 5.33e+04
Exterior2nd[T.MetalSd] -8890.7116 1.99e+04 -0.447 0.655 -4.79e+04 3.01e+04
Exterior2nd[T.Other] -1.128e+04 3.15e+04 -0.358 0.720 -7.31e+04 5.05e+04
Exterior2nd[T.Plywood] -2593.9384 1.81e+04 -0.144 0.886 -3.81e+04 3.29e+04
Exterior2nd[T.Stone] -6281.2077 2.45e+04 -0.256 0.798 -5.44e+04 4.18e+04
Exterior2nd[T.Stucco] 1.109e+04 2.1e+04 0.528 0.598 -3.01e+04 5.23e+04
Exterior2nd[T.VinylSd] 9818.0526 1.95e+04 0.502 0.616 -2.85e+04 4.82e+04
Exterior2nd[T.Wd Sdng] 516.4150 1.77e+04 0.029 0.977 -3.41e+04 3.52e+04
Exterior2nd[T.Wd Shng] -3825.5547 1.88e+04 -0.203 0.839 -4.08e+04 3.32e+04
MasVnrType[T.BrkFace] 6072.8989 8175.702 0.743 0.458 -9972.618 2.21e+04
MasVnrType[T.None] 6285.3926 8263.271 0.761 0.447 -9931.986 2.25e+04
MasVnrType[T.Stone] 7508.6315 8658.849 0.867 0.386 -9485.103 2.45e+04
ExterQual[T.Fa] 1.408e+04 1.55e+04 0.906 0.365 -1.64e+04 4.46e+04
ExterQual[T.Gd] 157.0681 5973.252 0.026 0.979 -1.16e+04 1.19e+04
ExterQual[T.TA] -2021.4379 6574.263 -0.307 0.759 -1.49e+04 1.09e+04
ExterCond[T.Fa] -1.254e+04 2.39e+04 -0.524 0.601 -5.95e+04 3.45e+04
ExterCond[T.Gd] -1.455e+04 2.3e+04 -0.633 0.527 -5.97e+04 3.06e+04
ExterCond[T.Po] -2.156e+04 5.25e+04 -0.411 0.681 -1.25e+05 8.14e+04
ExterCond[T.TA] -1.319e+04 2.3e+04 -0.573 0.567 -5.84e+04 3.2e+04
Foundation[T.CBlock] 4383.6043 5058.516 0.867 0.386 -5544.167 1.43e+04
Foundation[T.PConc] 7539.5298 5080.543 1.484 0.138 -2431.473 1.75e+04
Foundation[T.Slab] 6411.4116 1.01e+04 0.637 0.524 -1.33e+04 2.62e+04
Foundation[T.Stone] 1.886e+04 1.57e+04 1.200 0.230 -1.2e+04 4.97e+04
Foundation[T.Wood] -2.316e+04 1.7e+04 -1.360 0.174 -5.66e+04 1.03e+04
BsmtQual[T.Fa] -3031.2932 8345.478 -0.363 0.717 -1.94e+04 1.33e+04
BsmtQual[T.Gd] -1.077e+04 3777.481 -2.851 0.004 -1.82e+04 -3354.368
BsmtQual[T.TA] -8802.3658 4887.470 -1.801 0.072 -1.84e+04 789.713
BsmtCond[T.Gd] 2531.4221 7133.820 0.355 0.723 -1.15e+04 1.65e+04
BsmtCond[T.Po] -6.944e+04 3.37e+04 -2.058 0.040 -1.36e+05 -3213.831
BsmtCond[T.TA] 5641.7692 6025.437 0.936 0.349 -6183.667 1.75e+04
BsmtExposure[T.Gd] 8665.6883 3447.622 2.514 0.012 1899.434 1.54e+04
BsmtExposure[T.Mn] -1724.2034 3407.030 -0.506 0.613 -8410.791 4962.384
BsmtExposure[T.No] -5208.8275 2462.420 -2.115 0.035 -1e+04 -376.118
BsmtFinType1[T.BLQ] 1248.7593 3256.305 0.383 0.701 -5142.019 7639.537
BsmtFinType1[T.GLQ] 5780.1847 2977.437 1.941 0.053 -63.290 1.16e+04
BsmtFinType1[T.LwQ] -1936.4500 4733.513 -0.409 0.683 -1.12e+04 7353.475
BsmtFinType1[T.Rec] -184.1022 3612.343 -0.051 0.959 -7273.635 6905.431
BsmtFinType1[T.Unf] 4095.7073 3454.817 1.186 0.236 -2684.668 1.09e+04
BsmtFinType2[T.BLQ] -4086.5181 9151.608 -0.447 0.655 -2.2e+04 1.39e+04
BsmtFinType2[T.GLQ] 1688.9665 1.06e+04 0.160 0.873 -1.9e+04 2.24e+04
BsmtFinType2[T.LwQ] -1.047e+04 8720.489 -1.200 0.230 -2.76e+04 6648.524
BsmtFinType2[T.Rec] -6078.2228 8275.867 -0.734 0.463 -2.23e+04 1.02e+04
BsmtFinType2[T.Unf] -5240.6718 8965.398 -0.585 0.559 -2.28e+04 1.24e+04
Heating[T.GasA] 8982.8737 3.13e+04 0.287 0.774 -5.25e+04 7.04e+04
Heating[T.GasW] 1.697e+04 3.25e+04 0.522 0.602 -4.68e+04 8.07e+04
Heating[T.Grav] 140.5923 3.42e+04 0.004 0.997 -6.7e+04 6.73e+04
Heating[T.OthW] -4.459e+04 4.28e+04 -1.042 0.298 -1.29e+05 3.94e+04
Heating[T.Wall] 4250.6359 3.41e+04 0.125 0.901 -6.26e+04 7.11e+04
HeatingQC[T.Fa] -3202.0331 5927.559 -0.540 0.589 -1.48e+04 8431.310
HeatingQC[T.Gd] -4149.0835 2467.733 -1.681 0.093 -8992.221 694.054
HeatingQC[T.Po] 1.112e+04 3.05e+04 0.364 0.716 -4.88e+04 7.11e+04
HeatingQC[T.TA] -2802.7157 2551.460 -1.098 0.272 -7810.176 2204.744
CentralAir[T.Y] -2860.4545 5254.852 -0.544 0.586 -1.32e+04 7452.644
Electrical[T.FuseF] -6485.5443 7414.143 -0.875 0.382 -2.1e+04 8065.348
Electrical[T.FuseP] -1.982e+04 2.39e+04 -0.831 0.406 -6.66e+04 2.7e+04
Electrical[T.Mix] 1.107e+05 5.45e+04 2.033 0.042 3851.469 2.18e+05
Electrical[T.SBrkr] -1173.4975 3895.641 -0.301 0.763 -8819.027 6472.032
C(BsmtFullBath)[T.1] 1161.0469 2335.650 0.497 0.619 -3422.866 5744.960
C(BsmtFullBath)[T.2] 4787.9031 1.19e+04 0.403 0.687 -1.86e+04 2.81e+04
C(BsmtFullBath)[T.3] 3.036e+04 4.09e+04 0.742 0.458 -4.99e+04 1.11e+05
C(BsmtHalfBath)[T.1] 2287.0744 3801.693 0.602 0.548 -5174.074 9748.223
C(BsmtHalfBath)[T.2] -3.531e+04 3.31e+04 -1.065 0.287 -1e+05 2.98e+04
C(FullBath)[T.1] -4303.4616 2.06e+04 -0.209 0.835 -4.48e+04 3.61e+04
C(FullBath)[T.2] -5468.7067 2.1e+04 -0.261 0.794 -4.66e+04 3.57e+04
C(FullBath)[T.3] 1.398e+04 2.2e+04 0.636 0.525 -2.92e+04 5.71e+04
C(HalfBath)[T.1] 1839.5160 2630.399 0.699 0.485 -3322.868 7001.900
C(HalfBath)[T.2] -3127.5928 1.08e+04 -0.289 0.773 -2.44e+04 1.81e+04
C(BedroomAbvGr)[T.1] 2.104e+04 1.91e+04 1.104 0.270 -1.64e+04 5.85e+04
C(BedroomAbvGr)[T.2] 2.237e+04 1.89e+04 1.186 0.236 -1.46e+04 5.94e+04
C(BedroomAbvGr)[T.3] 1.572e+04 1.91e+04 0.823 0.411 -2.18e+04 5.32e+04
C(BedroomAbvGr)[T.4] 1.827e+04 1.95e+04 0.939 0.348 -1.99e+04 5.65e+04
C(BedroomAbvGr)[T.5] -8775.1551 2.11e+04 -0.416 0.677 -5.02e+04 3.26e+04
C(BedroomAbvGr)[T.6] 4325.4807 2.43e+04 0.178 0.859 -4.33e+04 5.2e+04
C(BedroomAbvGr)[T.8] 111.0133 2.53e+04 0.004 0.997 -4.96e+04 4.98e+04
C(KitchenAbvGr)[T.1] -1.702e+04 5.24e+04 -0.325 0.745 -1.2e+05 8.58e+04
C(KitchenAbvGr)[T.2] -2.066e+04 5.33e+04 -0.388 0.698 -1.25e+05 8.39e+04
C(KitchenAbvGr)[T.3] -1.795e+04 5.96e+04 -0.301 0.763 -1.35e+05 9.9e+04
KitchenQual[T.Fa] -1.176e+04 7809.478 -1.505 0.133 -2.71e+04 3570.569
KitchenQual[T.Gd] -1.179e+04 4073.050 -2.895 0.004 -1.98e+04 -3798.624
KitchenQual[T.TA] -1.02e+04 4643.252 -2.197 0.028 -1.93e+04 -1088.869
C(TotRmsAbvGrd)[T.3] -2.34e+04 2.16e+04 -1.083 0.279 -6.58e+04 1.9e+04
C(TotRmsAbvGrd)[T.4] -2.542e+04 2.08e+04 -1.223 0.222 -6.62e+04 1.54e+04
C(TotRmsAbvGrd)[T.5] -2.486e+04 2.08e+04 -1.194 0.233 -6.57e+04 1.6e+04
C(TotRmsAbvGrd)[T.6] -2.222e+04 2.1e+04 -1.056 0.291 -6.35e+04 1.91e+04
C(TotRmsAbvGrd)[T.7] -2.042e+04 2.11e+04 -0.968 0.333 -6.18e+04 2.1e+04
C(TotRmsAbvGrd)[T.8] -2.106e+04 2.12e+04 -0.992 0.321 -6.27e+04 2.06e+04
C(TotRmsAbvGrd)[T.9] -2.602e+04 2.14e+04 -1.213 0.225 -6.81e+04 1.61e+04
C(TotRmsAbvGrd)[T.10] -1.065e+04 2.2e+04 -0.485 0.628 -5.38e+04 3.25e+04
C(TotRmsAbvGrd)[T.11] -2.298e+04 2.33e+04 -0.985 0.325 -6.88e+04 2.28e+04
C(TotRmsAbvGrd)[T.12] 4384.7605 2.3e+04 0.191 0.849 -4.07e+04 4.95e+04
C(TotRmsAbvGrd)[T.14] 111.0133 2.53e+04 0.004 0.997 -4.96e+04 4.98e+04
Functional[T.Maj2] -1.865e+04 1.78e+04 -1.047 0.295 -5.36e+04 1.63e+04
Functional[T.Min1] 7748.3889 1.03e+04 0.751 0.453 -1.25e+04 2.8e+04
Functional[T.Min2] 8603.1862 1.08e+04 0.795 0.427 -1.26e+04 2.98e+04
Functional[T.Mod] 213.8354 1.25e+04 0.017 0.986 -2.42e+04 2.47e+04
Functional[T.Sev] -1.43e+04 4.06e+04 -0.352 0.725 -9.4e+04 6.54e+04
Functional[T.Typ] 1.634e+04 9033.917 1.809 0.071 -1391.797 3.41e+04
C(Fireplaces)[T.1] 661.7014 2019.265 0.328 0.743 -3301.280 4624.683
C(Fireplaces)[T.2] 8881.2815 3656.963 2.429 0.015 1704.178 1.61e+04
C(Fireplaces)[T.3] 6125.6445 1.43e+04 0.429 0.668 -2.19e+04 3.42e+04
GarageType[T.Attchd] 2.217e+04 1.5e+04 1.475 0.141 -7337.827 5.17e+04
GarageType[T.Basment] 2.689e+04 1.71e+04 1.573 0.116 -6667.720 6.04e+04
GarageType[T.BuiltIn] 1.709e+04 1.54e+04 1.110 0.267 -1.31e+04 4.73e+04
GarageType[T.CarPort] 2.055e+04 1.95e+04 1.052 0.293 -1.78e+04 5.89e+04
GarageType[T.Detchd] 2.283e+04 1.5e+04 1.517 0.130 -6707.803 5.24e+04
C(GarageYrBlt)[T.1906] 1321.7429 2.35e+04 0.056 0.955 -4.48e+04 4.74e+04
C(GarageYrBlt)[T.1908] 5.339e+04 6.48e+04 0.824 0.410 -7.38e+04 1.81e+05
C(GarageYrBlt)[T.1910] 5.492e+04 4.68e+04 1.173 0.241 -3.7e+04 1.47e+05
C(GarageYrBlt)[T.1914] -2092.2511 4.61e+04 -0.045 0.964 -9.26e+04 8.84e+04
C(GarageYrBlt)[T.1915] 8643.0851 4.49e+04 0.193 0.847 -7.94e+04 9.67e+04
C(GarageYrBlt)[T.1916] -1313.0815 4.64e+04 -0.028 0.977 -9.24e+04 8.98e+04
C(GarageYrBlt)[T.1918] -3.961e+04 5.29e+04 -0.748 0.454 -1.43e+05 6.43e+04
C(GarageYrBlt)[T.1920] 3.383e+04 4.14e+04 0.817 0.414 -4.74e+04 1.15e+05
C(GarageYrBlt)[T.1921] 4.035e+04 4.82e+04 0.838 0.402 -5.42e+04 1.35e+05
C(GarageYrBlt)[T.1922] 4.108e+04 4.51e+04 0.912 0.362 -4.74e+04 1.3e+05
C(GarageYrBlt)[T.1923] 2.746e+04 4.51e+04 0.609 0.542 -6.1e+04 1.16e+05
C(GarageYrBlt)[T.1924] 1.969e+04 4.47e+04 0.440 0.660 -6.81e+04 1.07e+05
C(GarageYrBlt)[T.1925] 2.542e+04 4.1e+04 0.620 0.535 -5.5e+04 1.06e+05
C(GarageYrBlt)[T.1926] 2.837e+04 4.74e+04 0.598 0.550 -6.47e+04 1.21e+05
C(GarageYrBlt)[T.1927] 8.347e+04 5.52e+04 1.511 0.131 -2.49e+04 1.92e+05
C(GarageYrBlt)[T.1928] 3.983e+04 4.51e+04 0.883 0.377 -4.87e+04 1.28e+05
C(GarageYrBlt)[T.1929] 3.775e+04 4.59e+04 0.822 0.411 -5.24e+04 1.28e+05
C(GarageYrBlt)[T.1930] 4.321e+04 4.17e+04 1.035 0.301 -3.87e+04 1.25e+05
C(GarageYrBlt)[T.1931] 2.873e+04 4.46e+04 0.644 0.520 -5.89e+04 1.16e+05
C(GarageYrBlt)[T.1932] 3.395e+04 4.38e+04 0.775 0.438 -5.2e+04 1.2e+05
C(GarageYrBlt)[T.1933] 2.801e+04 4.89e+04 0.573 0.567 -6.79e+04 1.24e+05
C(GarageYrBlt)[T.1934] 5.11e+04 4.63e+04 1.104 0.270 -3.97e+04 1.42e+05
C(GarageYrBlt)[T.1935] 1.634e+04 4.21e+04 0.388 0.698 -6.63e+04 9.9e+04
C(GarageYrBlt)[T.1936] 2.382e+04 4.42e+04 0.539 0.590 -6.29e+04 1.11e+05
C(GarageYrBlt)[T.1937] 3.67e+04 4.62e+04 0.794 0.427 -5.4e+04 1.27e+05
C(GarageYrBlt)[T.1938] 2.963e+04 4.4e+04 0.674 0.501 -5.67e+04 1.16e+05
C(GarageYrBlt)[T.1939] 3.514e+04 4.45e+04 0.790 0.430 -5.22e+04 1.22e+05
C(GarageYrBlt)[T.1940] 3.523e+04 4.25e+04 0.830 0.407 -4.81e+04 1.19e+05
C(GarageYrBlt)[T.1941] 3.242e+04 4.25e+04 0.763 0.446 -5.1e+04 1.16e+05
C(GarageYrBlt)[T.1942] 1.111e+04 2.19e+04 0.507 0.612 -3.19e+04 5.41e+04
C(GarageYrBlt)[T.1945] 2.967e+04 4.37e+04 0.679 0.497 -5.61e+04 1.15e+05
C(GarageYrBlt)[T.1946] 8.38e+04 5.05e+04 1.660 0.097 -1.53e+04 1.83e+05
C(GarageYrBlt)[T.1947] 6.793e+04 4.76e+04 1.427 0.154 -2.55e+04 1.61e+05
C(GarageYrBlt)[T.1948] 3.715e+04 4.19e+04 0.888 0.375 -4.5e+04 1.19e+05
C(GarageYrBlt)[T.1949] 2.324e+04 4.12e+04 0.564 0.573 -5.77e+04 1.04e+05
C(GarageYrBlt)[T.1950] 3.256e+04 4.06e+04 0.802 0.423 -4.71e+04 1.12e+05
C(GarageYrBlt)[T.1951] 1.584e+04 4.4e+04 0.360 0.719 -7.05e+04 1.02e+05
C(GarageYrBlt)[T.1952] -2.07e+04 5.01e+04 -0.413 0.679 -1.19e+05 7.76e+04
C(GarageYrBlt)[T.1953] -151.6327 5.55e+04 -0.003 0.998 -1.09e+05 1.09e+05
C(GarageYrBlt)[T.1954] 2.954e+04 4.02e+04 0.735 0.462 -4.93e+04 1.08e+05
C(GarageYrBlt)[T.1955] 1.299e+04 4.12e+04 0.316 0.752 -6.78e+04 9.38e+04
C(GarageYrBlt)[T.1956] 3.621e+04 4.21e+04 0.860 0.390 -4.65e+04 1.19e+05
C(GarageYrBlt)[T.1957] 2.714e+04 4.17e+04 0.651 0.515 -5.47e+04 1.09e+05
C(GarageYrBlt)[T.1958] 3.05e+04 4.07e+04 0.750 0.454 -4.94e+04 1.1e+05
C(GarageYrBlt)[T.1959] 2.57e+04 4.1e+04 0.627 0.531 -5.47e+04 1.06e+05
C(GarageYrBlt)[T.1960] 1.983e+04 3.88e+04 0.510 0.610 -5.64e+04 9.61e+04
C(GarageYrBlt)[T.1961] 2.889e+04 4.08e+04 0.709 0.478 -5.11e+04 1.09e+05
C(GarageYrBlt)[T.1962] 2.915e+04 4.07e+04 0.716 0.474 -5.08e+04 1.09e+05
C(GarageYrBlt)[T.1963] 2.936e+04 4.15e+04 0.707 0.480 -5.22e+04 1.11e+05
C(GarageYrBlt)[T.1964] 4.289e+04 4.04e+04 1.061 0.289 -3.64e+04 1.22e+05
C(GarageYrBlt)[T.1965] 2.445e+04 4.16e+04 0.589 0.556 -5.71e+04 1.06e+05
C(GarageYrBlt)[T.1966] 3.871e+04 4.26e+04 0.909 0.364 -4.49e+04 1.22e+05
C(GarageYrBlt)[T.1967] 2.397e+04 4.19e+04 0.572 0.568 -5.83e+04 1.06e+05
C(GarageYrBlt)[T.1968] 3.393e+04 4.15e+04 0.817 0.414 -4.75e+04 1.15e+05
C(GarageYrBlt)[T.1969] -5491.1687 5.46e+04 -0.100 0.920 -1.13e+05 1.02e+05
C(GarageYrBlt)[T.1970] 2.264e+04 4.06e+04 0.558 0.577 -5.71e+04 1.02e+05
C(GarageYrBlt)[T.1971] 2.408e+04 4.12e+04 0.584 0.559 -5.68e+04 1.05e+05
C(GarageYrBlt)[T.1972] 3.688e+04 4.08e+04 0.904 0.366 -4.32e+04 1.17e+05
C(GarageYrBlt)[T.1973] 4.049e+04 4.31e+04 0.939 0.348 -4.41e+04 1.25e+05
C(GarageYrBlt)[T.1974] 2.932e+04 4.02e+04 0.729 0.466 -4.97e+04 1.08e+05
C(GarageYrBlt)[T.1975] 2.284e+04 4.29e+04 0.532 0.595 -6.14e+04 1.07e+05
C(GarageYrBlt)[T.1976] 3.74e+04 4.09e+04 0.914 0.361 -4.29e+04 1.18e+05
C(GarageYrBlt)[T.1977] 2.111e+04 4.02e+04 0.525 0.600 -5.78e+04 1e+05
C(GarageYrBlt)[T.1978] 2.636e+04 4.1e+04 0.643 0.520 -5.41e+04 1.07e+05
C(GarageYrBlt)[T.1979] 3.381e+04 4.17e+04 0.811 0.417 -4.8e+04 1.16e+05
C(GarageYrBlt)[T.1980] 3.827e+04 4.07e+04 0.941 0.347 -4.16e+04 1.18e+05
C(GarageYrBlt)[T.1981] 2.601e+04 4.2e+04 0.619 0.536 -5.65e+04 1.08e+05
C(GarageYrBlt)[T.1982] 1.467e+04 4.37e+04 0.336 0.737 -7.1e+04 1e+05
C(GarageYrBlt)[T.1983] 2.719e+04 4.44e+04 0.612 0.540 -5.99e+04 1.14e+05
C(GarageYrBlt)[T.1984] 1.039e+04 5.34e+04 0.194 0.846 -9.45e+04 1.15e+05
C(GarageYrBlt)[T.1985] 2.782e+04 4.16e+04 0.669 0.504 -5.38e+04 1.09e+05
C(GarageYrBlt)[T.1986] 2.883e+04 4.4e+04 0.655 0.512 -5.75e+04 1.15e+05
C(GarageYrBlt)[T.1987] 3.518e+04 4.12e+04 0.854 0.393 -4.57e+04 1.16e+05
C(GarageYrBlt)[T.1988] 1.294e+04 4.37e+04 0.296 0.767 -7.28e+04 9.86e+04
C(GarageYrBlt)[T.1989] 3.243e+04 4.13e+04 0.786 0.432 -4.86e+04 1.13e+05
C(GarageYrBlt)[T.1990] 2.333e+04 4.27e+04 0.547 0.585 -6.04e+04 1.07e+05
C(GarageYrBlt)[T.1991] 3.064e+04 4.14e+04 0.740 0.460 -5.07e+04 1.12e+05
C(GarageYrBlt)[T.1992] 1.411e+04 4.44e+04 0.317 0.751 -7.31e+04 1.01e+05
C(GarageYrBlt)[T.1993] 3.489e+04 4.15e+04 0.841 0.401 -4.65e+04 1.16e+05
C(GarageYrBlt)[T.1994] 4.001e+04 4.01e+04 0.997 0.319 -3.87e+04 1.19e+05
C(GarageYrBlt)[T.1995] 2.358e+04 4.1e+04 0.575 0.566 -5.69e+04 1.04e+05
C(GarageYrBlt)[T.1996] 2.986e+04 4.02e+04 0.742 0.458 -4.91e+04 1.09e+05
C(GarageYrBlt)[T.1997] 3.268e+04 4.16e+04 0.786 0.432 -4.9e+04 1.14e+05
C(GarageYrBlt)[T.1998] 1.226e+04 4.14e+04 0.296 0.767 -6.9e+04 9.36e+04
C(GarageYrBlt)[T.1999] 2.546e+04 4.14e+04 0.615 0.538 -5.57e+04 1.07e+05
C(GarageYrBlt)[T.2000] 2.688e+04 4.37e+04 0.615 0.538 -5.88e+04 1.13e+05
C(GarageYrBlt)[T.2001] 2.432e+04 1.99e+04 1.220 0.223 -1.48e+04 6.34e+04
C(GarageYrBlt)[T.2002] 2.833e+04 4.28e+04 0.662 0.508 -5.56e+04 1.12e+05
C(GarageYrBlt)[T.2003] 4.271e+04 4.14e+04 1.031 0.303 -3.86e+04 1.24e+05
C(GarageYrBlt)[T.2004] 5.126e+04 4.22e+04 1.215 0.225 -3.15e+04 1.34e+05
C(GarageYrBlt)[T.2005] 3.275e+04 4.12e+04 0.794 0.427 -4.81e+04 1.14e+05
C(GarageYrBlt)[T.2006] 4.654e+04 4.11e+04 1.132 0.258 -3.41e+04 1.27e+05
C(GarageYrBlt)[T.2007] 1.574e+04 4.15e+04 0.379 0.705 -6.57e+04 9.72e+04
C(GarageYrBlt)[T.2008] 2.348e+04 4.25e+04 0.552 0.581 -6e+04 1.07e+05
C(GarageYrBlt)[T.2009] 6.181e+04 4.63e+04 1.334 0.182 -2.91e+04 1.53e+05
C(GarageYrBlt)[T.2010] 1.076e+04 5.03e+04 0.214 0.831 -8.79e+04 1.09e+05
GarageFinish[T.RFn] -1391.7249 2190.632 -0.635 0.525 -5691.029 2907.579
GarageFinish[T.Unf] -841.5191 2834.616 -0.297 0.767 -6404.697 4721.659
C(GarageCars)[T.1] 714.5840 1.27e+04 0.056 0.955 -2.41e+04 2.56e+04
C(GarageCars)[T.2] -24.9637 1.34e+04 -0.002 0.999 -2.63e+04 2.62e+04
C(GarageCars)[T.3] 1.139e+04 1.48e+04 0.769 0.442 -1.77e+04 4.04e+04
C(GarageCars)[T.4] 1.627e+04 2.03e+04 0.801 0.423 -2.36e+04 5.61e+04
GarageQual[T.Fa] -8.187e+04 5.41e+04 -1.514 0.130 -1.88e+05 2.42e+04
GarageQual[T.Gd] -7.624e+04 5.5e+04 -1.387 0.166 -1.84e+05 3.17e+04
GarageQual[T.Po] -1.25e+05 6.65e+04 -1.880 0.060 -2.56e+05 5510.424
GarageQual[T.TA] -8.115e+04 5.37e+04 -1.510 0.131 -1.87e+05 2.43e+04
GarageCond[T.Fa] 6.311e+04 5.95e+04 1.061 0.289 -5.36e+04 1.8e+05
GarageCond[T.Gd] 6.51e+04 6.05e+04 1.076 0.282 -5.36e+04 1.84e+05
GarageCond[T.Po] 9.267e+04 6.33e+04 1.464 0.143 -3.15e+04 2.17e+05
GarageCond[T.TA] 7.041e+04 5.91e+04 1.192 0.233 -4.55e+04 1.86e+05
PavedDrive[T.P] -7322.0034 7608.036 -0.962 0.336 -2.23e+04 7609.421
PavedDrive[T.Y] -3238.5394 4491.307 -0.721 0.471 -1.21e+04 5576.037
C(MoSold)[T.2] -1729.2387 5294.265 -0.327 0.744 -1.21e+04 8661.211
C(MoSold)[T.3] 1241.8231 4735.324 0.262 0.793 -8051.656 1.05e+04
C(MoSold)[T.4] -717.8530 4470.734 -0.161 0.872 -9492.052 8056.346
C(MoSold)[T.5] 698.4001 4228.062 0.165 0.869 -7599.534 8996.334
C(MoSold)[T.6] -1000.0146 4228.898 -0.236 0.813 -9299.589 7299.560
C(MoSold)[T.7] 2134.0028 4283.150 0.498 0.618 -6272.046 1.05e+04
C(MoSold)[T.8] -4966.5117 4508.182 -1.102 0.271 -1.38e+04 3881.183
C(MoSold)[T.9] -1732.1903 5121.196 -0.338 0.735 -1.18e+04 8318.597
C(MoSold)[T.10] -4814.8654 4960.222 -0.971 0.332 -1.45e+04 4919.995
C(MoSold)[T.11] 881.7409 4969.646 0.177 0.859 -8871.616 1.06e+04
C(MoSold)[T.12] -3259.0294 5299.627 -0.615 0.539 -1.37e+04 7141.944
C(YrSold)[T.2007] 936.1064 2291.824 0.408 0.683 -3561.796 5434.009
C(YrSold)[T.2008] 1687.1901 2344.546 0.720 0.472 -2914.183 6288.563
C(YrSold)[T.2009] -2810.4973 2341.294 -1.200 0.230 -7405.487 1784.492
C(YrSold)[T.2010] -1028.5042 2854.545 -0.360 0.719 -6630.794 4573.785
SaleType[T.CWD] 1.469e+04 1.57e+04 0.934 0.350 -1.62e+04 4.56e+04
SaleType[T.Con] 2.211e+04 1.97e+04 1.125 0.261 -1.65e+04 6.07e+04
SaleType[T.ConLD] -975.5731 1.14e+04 -0.086 0.932 -2.33e+04 2.13e+04
SaleType[T.ConLI] 1455.2255 1.3e+04 0.112 0.911 -2.4e+04 2.69e+04
SaleType[T.ConLw] 764.0461 1.4e+04 0.055 0.957 -2.67e+04 2.83e+04
SaleType[T.New] 2.023e+04 1.79e+04 1.133 0.258 -1.48e+04 5.53e+04
SaleType[T.Oth] 4460.0936 1.78e+04 0.251 0.802 -3.05e+04 3.94e+04
SaleType[T.WD] -861.5925 4935.215 -0.175 0.861 -1.05e+04 8824.191
SaleCondition[T.AdjLand] 2.955e+04 1.94e+04 1.527 0.127 -8427.626 6.75e+04
SaleCondition[T.Alloca] -8125.5430 1.27e+04 -0.642 0.521 -3.3e+04 1.67e+04
SaleCondition[T.Family] -5057.1362 6873.167 -0.736 0.462 -1.85e+04 8432.044
SaleCondition[T.Normal] 4630.9744 3358.900 1.379 0.168 -1961.154 1.12e+04
SaleCondition[T.Partial] -1397.0094 1.7e+04 -0.082 0.935 -3.48e+04 3.2e+04
LotFrontage 68.3798 50.630 1.351 0.177 -30.985 167.745
LotArea 0.6483 0.132 4.898 0.000 0.389 0.908
MasVnrArea 11.5877 6.384 1.815 0.070 -0.942 24.117
BsmtFinSF1 16.1642 3.342 4.836 0.000 9.605 22.723
BsmtFinSF2 3.8981 6.815 0.572 0.567 -9.477 17.273
BsmtUnfSF -3.8487 3.102 -1.241 0.215 -9.936 2.239
TotalBsmtSF 16.2135 4.152 3.905 0.000 8.065 24.362
firstFlrSf 15.2594 8.688 1.756 0.079 -1.791 32.310
secondFlrSf 23.8445 7.426 3.211 0.001 9.270 38.419
LowQualFinSF -0.4582 20.399 -0.022 0.982 -40.493 39.577
GrLivArea 38.6457 7.995 4.834 0.000 22.955 54.337
GarageArea 12.3929 9.631 1.287 0.198 -6.508 31.294
WoodDeckSF 15.1318 6.710 2.255 0.024 1.963 28.300
OpenPorchSF 9.4759 13.317 0.712 0.477 -16.659 35.611
EnclosedPorch 10.6637 15.391 0.693 0.489 -19.542 40.870
threeSsnPorch 54.4142 25.106 2.167 0.030 5.141 103.687
ScreenPorch 38.1734 14.485 2.635 0.009 9.745 66.602
PoolArea 64.7990 21.448 3.021 0.003 22.705 106.893
MiscVal -0.3888 1.665 -0.234 0.815 -3.656 2.878
==============================================================================
Omnibus: 382.963 Durbin-Watson: 1.955
Prob(Omnibus): 0.000 Jarque-Bera (JB): 23851.628
Skew: 0.225 Prob(JB): 0.00
Kurtosis: 22.796 Cond. No. 3.89e+17
==============================================================================
Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The smallest eigenvalue is 2.06e-24. This might indicate that there are
strong multicollinearity problems or that the design matrix is singular.
Full Regression on Training set¶
R-squared valeu is 0.9500 R-squared adjusted is 0.92
As it can be seen from the summary that most of the parameters do not have statistically significant effect on Regression Fit. However before making any judgment on further modification, following steps were considered in model developement
1) Observed the natures of parameters thorugh pair-plot\ 2) Observed residual diagnostic\ 3) Made transformation on some of the parameters\ 4) Full model regression \ 5) Checked regression with providinig interaction on some parameteres\ 5) Reduced model through STEP using BIC criterion\ 6) Applied bootstrap with step to observed the variaton in betas\ 7) Applied Lasso and ridge regression\
In [22]:
# sns.pairplot(train)
# plt.show()
fig, axs = plt.subplots(5,4,figsize=(50,50)) # figsize=(15, 6), facecolor='w', edgecolor='k')
#fig.subplots_adjust(hspace = .5, wspace=.001)
axs = axs.ravel()
train_noncat=['LotFrontage','LotArea','MasVnrArea','BsmtFinSF1','BsmtFinSF2','BsmtUnfSF','TotalBsmtSF','firstFlrSf','secondFlrSf','LowQualFinSF','GrLivArea','GarageArea','WoodDeckSF','OpenPorchSF','EnclosedPorch','threeSsnPorch', 'ScreenPorch','PoolArea','MiscVal']
for i in range(19):
axs[i].scatter(train[train_noncat[i]],train['SalePrice'])
axs[i].set_title(train_noncat[i])
#axs[i].set_xlabel(train.columns[i])
axs[i].set_ylabel('SalePrice')
plt.show()
# plt.savefig('individualpara.png')
Observation from Y vs parameters plot¶
It is evident that most of the graphs have non-constant variance. Suggesting to work with log scale. Before going into that, lets check for residues.
In [23]:
# sns.pairplot(train)
# plt.show()
# fig, axs = plt.subplots(5,4,figsize=(50,50)) # figsize=(15, 6), facecolor='w', edgecolor='k')
#fig.subplots_adjust(hspace = .5, wspace=.001)
# axs = axs.ravel()
train_noncat=['LotFrontage','LotArea','MasVnrArea','BsmtFinSF1','BsmtFinSF2','BsmtUnfSF','TotalBsmtSF','firstFlrSf','secondFlrSf','LowQualFinSF','GrLivArea','GarageArea','WoodDeckSF','OpenPorchSF','EnclosedPorch','threeSsnPorch', 'ScreenPorch','PoolArea','MiscVal']
for i in range(19):
plt.figure(i)
sns.residplot(train[train_noncat[i]], train['SalePrice'])
plt.title(train_noncat[i])
#axs[i].set_xlabel(train.columns[i])
plt.ylabel('SalePrice')
plt.show()
# plt.savefig('individualresid.png')
Converting y to log(y)¶
In [24]:
train_noncat=['LotFrontage','LotArea','MasVnrArea','BsmtFinSF1','BsmtFinSF2','BsmtUnfSF','TotalBsmtSF','firstFlrSf','secondFlrSf','LowQualFinSF','GrLivArea','GarageArea','WoodDeckSF','OpenPorchSF','EnclosedPorch','threeSsnPorch', 'ScreenPorch','PoolArea','MiscVal']
for i in range(19):
plt.figure(i)
sns.residplot(train[train_noncat[i]], np.log(train['SalePrice']))
plt.title(train_noncat[i])
#axs[i].set_xlabel(train.columns[i])
plt.ylabel('SalePrice')
plt.show()
Taking log of y helped in making a residual with somewhat uniform variance across x.
Removing outliers now:
Let us observe the the original y (sales price) vs parameter graph. it feels lik LotFrontage >300 and GrlivAre> 4500 should be removed to produce better fit
In [25]:
train.drop(train[train['GrLivArea']>4500].index, inplace=True)
train.reset_index(drop=True, inplace=True)
In [26]:
train.drop(train[train['LotFrontage']>300].index, inplace=True)
train.reset_index(drop=True, inplace=True)
Full Regressioin with log scale on Y¶
In [27]:
reg=ols('np.log(SalePrice)~ C(MSSubClass)+MSZoning+LotFrontage+LotArea+Street+LotShape+LandContour+Utilities+LotConfig+LandSlope+Neighborhood+Condition1+Condition2+BldgType+HouseStyle+C(OverallQual)+C(OverallCond)+C(YearBuilt)+C(YearRemodAdd)+RoofStyle+RoofMatl+Exterior1st+Exterior2nd+MasVnrType+MasVnrArea+ExterQual+ExterCond+Foundation+BsmtQual+BsmtCond+BsmtExposure+BsmtFinType1+BsmtFinSF1+BsmtFinType2+BsmtFinSF2+BsmtUnfSF+TotalBsmtSF+Heating+HeatingQC+CentralAir+Electrical+firstFlrSf+secondFlrSf+LowQualFinSF+GrLivArea+C(BsmtFullBath)+C(BsmtHalfBath)+C(FullBath)+C(HalfBath)+C(BedroomAbvGr)+C(KitchenAbvGr)+KitchenQual+C(TotRmsAbvGrd)+Functional+C(Fireplaces)+GarageType+C(GarageYrBlt)+GarageFinish+C(GarageCars)+GarageArea+GarageQual+GarageCond+PavedDrive+WoodDeckSF+OpenPorchSF+EnclosedPorch+threeSsnPorch+ScreenPorch+PoolArea+MiscVal+C(MoSold)+C(YrSold)+SaleType+SaleCondition',data=train)
reg_result=reg.fit()
print(reg_result.summary())
OLS Regression Results
==============================================================================
Dep. Variable: np.log(SalePrice) R-squared: 0.965
Model: OLS Adj. R-squared: 0.944
Method: Least Squares F-statistic: 45.79
Date: Wed, 11 Dec 2019 Prob (F-statistic): 0.00
Time: 23:02:52 Log-Likelihood: 1721.2
No. Observations: 1457 AIC: -2336.
Df Residuals: 904 BIC: 585.8
Df Model: 552
Covariance Type: nonrobust
============================================================================================
coef std err t P>|t| [0.025 0.975]
--------------------------------------------------------------------------------------------
Intercept 8.6785 0.397 21.856 0.000 7.899 9.458
C(MSSubClass)[T.30] -0.0510 0.029 -1.753 0.080 -0.108 0.006
C(MSSubClass)[T.40] -0.0633 0.076 -0.837 0.403 -0.212 0.085
C(MSSubClass)[T.45] -0.1862 0.137 -1.356 0.175 -0.456 0.083
C(MSSubClass)[T.50] -0.0100 0.047 -0.213 0.832 -0.102 0.082
C(MSSubClass)[T.60] -0.0386 0.041 -0.932 0.352 -0.120 0.043
C(MSSubClass)[T.70] -0.0505 0.047 -1.067 0.286 -0.143 0.042
C(MSSubClass)[T.75] -0.1090 0.107 -1.018 0.309 -0.319 0.101
C(MSSubClass)[T.80] -0.0467 0.062 -0.757 0.450 -0.168 0.074
C(MSSubClass)[T.85] -0.0403 0.060 -0.673 0.501 -0.158 0.077
C(MSSubClass)[T.90] -0.0277 0.023 -1.201 0.230 -0.073 0.018
C(MSSubClass)[T.120] -0.1258 0.071 -1.761 0.079 -0.266 0.014
C(MSSubClass)[T.160] -0.2093 0.086 -2.427 0.015 -0.379 -0.040
C(MSSubClass)[T.180] -0.1680 0.097 -1.732 0.084 -0.358 0.022
C(MSSubClass)[T.190] 0.4651 0.223 2.085 0.037 0.027 0.903
MSZoning[T.FV] 0.5766 0.066 8.782 0.000 0.448 0.705
MSZoning[T.RH] 0.4835 0.071 6.834 0.000 0.345 0.622
MSZoning[T.RL] 0.5313 0.059 8.985 0.000 0.415 0.647
MSZoning[T.RM] 0.4530 0.057 8.016 0.000 0.342 0.564
Street[T.Pave] 0.0148 0.067 0.220 0.826 -0.117 0.146
LotShape[T.IR2] 0.0101 0.020 0.503 0.615 -0.029 0.049
LotShape[T.IR3] 0.0301 0.040 0.748 0.455 -0.049 0.109
LotShape[T.Reg] 0.0074 0.008 0.955 0.340 -0.008 0.023
LandContour[T.HLS] -0.0041 0.027 -0.152 0.880 -0.057 0.049
LandContour[T.Low] 0.0018 0.034 0.052 0.959 -0.065 0.069
LandContour[T.Lvl] -0.0106 0.021 -0.506 0.613 -0.052 0.030
Utilities[T.NoSeWa] -0.2020 0.131 -1.541 0.124 -0.459 0.055
LotConfig[T.CulDSac] 0.0415 0.016 2.585 0.010 0.010 0.073
LotConfig[T.FR2] -0.0366 0.019 -1.961 0.050 -0.073 2.35e-05
LotConfig[T.FR3] -0.0593 0.056 -1.052 0.293 -0.170 0.051
LotConfig[T.Inside] -0.0120 0.009 -1.355 0.176 -0.029 0.005
LandSlope[T.Mod] 0.0199 0.021 0.970 0.333 -0.020 0.060
LandSlope[T.Sev] -0.2364 0.061 -3.871 0.000 -0.356 -0.117
Neighborhood[T.Blueste] 0.0084 0.097 0.086 0.931 -0.182 0.198
Neighborhood[T.BrDale] 0.0405 0.058 0.702 0.483 -0.073 0.154
Neighborhood[T.BrkSide] 0.0356 0.047 0.755 0.450 -0.057 0.128
Neighborhood[T.ClearCr] 0.0317 0.045 0.703 0.482 -0.057 0.120
Neighborhood[T.CollgCr] -0.0092 0.035 -0.266 0.790 -0.077 0.059
Neighborhood[T.Crawfor] 0.0996 0.043 2.323 0.020 0.015 0.184
Neighborhood[T.Edwards] -0.0535 0.038 -1.392 0.164 -0.129 0.022
Neighborhood[T.Gilbert] -0.0122 0.037 -0.332 0.740 -0.084 0.060
Neighborhood[T.IDOTRR] 0.0363 0.055 0.654 0.513 -0.073 0.145
Neighborhood[T.MeadowV] -0.0887 0.062 -1.437 0.151 -0.210 0.032
Neighborhood[T.Mitchel] -0.0456 0.040 -1.142 0.254 -0.124 0.033
Neighborhood[T.NAmes] -0.0423 0.038 -1.108 0.268 -0.117 0.033
Neighborhood[T.NPkVill] 0.0331 0.066 0.505 0.614 -0.096 0.162
Neighborhood[T.NWAmes] -0.0273 0.040 -0.688 0.492 -0.105 0.051
Neighborhood[T.NoRidge] 0.0343 0.041 0.833 0.405 -0.047 0.115
Neighborhood[T.NridgHt] 0.0517 0.035 1.480 0.139 -0.017 0.120
Neighborhood[T.OldTown] -0.0141 0.048 -0.291 0.771 -0.109 0.081
Neighborhood[T.SWISU] -0.0509 0.051 -1.004 0.316 -0.150 0.049
Neighborhood[T.Sawyer] -0.0276 0.040 -0.688 0.491 -0.106 0.051
Neighborhood[T.SawyerW] 0.0015 0.038 0.039 0.969 -0.073 0.076
Neighborhood[T.Somerst] 0.0141 0.042 0.335 0.738 -0.068 0.097
Neighborhood[T.StoneBr] 0.1122 0.040 2.776 0.006 0.033 0.192
Neighborhood[T.Timber] 0.0105 0.038 0.274 0.785 -0.065 0.086
Neighborhood[T.Veenker] 0.0513 0.051 0.998 0.319 -0.050 0.152
Condition1[T.Feedr] 0.0776 0.028 2.762 0.006 0.022 0.133
Condition1[T.Norm] 0.1148 0.024 4.806 0.000 0.068 0.162
Condition1[T.PosA] 0.1286 0.053 2.420 0.016 0.024 0.233
Condition1[T.PosN] 0.1105 0.037 2.958 0.003 0.037 0.184
Condition1[T.RRAe] -0.0329 0.047 -0.707 0.480 -0.124 0.058
Condition1[T.RRAn] 0.0756 0.035 2.187 0.029 0.008 0.143
Condition1[T.RRNe] 0.0722 0.082 0.882 0.378 -0.088 0.233
Condition1[T.RRNn] 0.1025 0.060 1.701 0.089 -0.016 0.221
Condition2[T.Feedr] 0.2992 0.148 2.027 0.043 0.009 0.589
Condition2[T.Norm] 0.2224 0.131 1.695 0.090 -0.035 0.480
Condition2[T.PosA] 0.1885 0.109 1.733 0.083 -0.025 0.402
Condition2[T.PosN] 0.1540 0.173 0.891 0.373 -0.185 0.493
Condition2[T.RRAe] -0.3852 0.279 -1.380 0.168 -0.933 0.162
Condition2[T.RRAn] 0.1151 0.171 0.672 0.502 -0.221 0.451
Condition2[T.RRNn] 0.4280 0.176 2.438 0.015 0.083 0.772
BldgType[T.2fmCon] -0.5072 0.223 -2.273 0.023 -0.945 -0.069
BldgType[T.Duplex] -0.0277 0.023 -1.201 0.230 -0.073 0.018
BldgType[T.Twnhs] 0.0759 0.076 0.995 0.320 -0.074 0.226
BldgType[T.TwnhsE] 0.0993 0.073 1.366 0.172 -0.043 0.242
HouseStyle[T.1.5Unf] 0.1799 0.135 1.330 0.184 -0.086 0.445
HouseStyle[T.1Story] 0.0120 0.047 0.256 0.798 -0.080 0.104
HouseStyle[T.2.5Fin] -0.0047 0.123 -0.038 0.970 -0.246 0.236
HouseStyle[T.2.5Unf] 0.1400 0.115 1.213 0.225 -0.087 0.367
HouseStyle[T.2Story] 0.0024 0.045 0.053 0.958 -0.086 0.091
HouseStyle[T.SFoyer] 0.0576 0.065 0.887 0.375 -0.070 0.185
HouseStyle[T.SLvl] 0.0543 0.069 0.782 0.435 -0.082 0.191
C(OverallQual)[T.2] -0.0614 0.119 -0.516 0.606 -0.295 0.172
C(OverallQual)[T.3] 0.0109 0.099 0.110 0.913 -0.183 0.205
C(OverallQual)[T.4] 0.0803 0.094 0.855 0.393 -0.104 0.265
C(OverallQual)[T.5] 0.1093 0.095 1.154 0.249 -0.077 0.295
C(OverallQual)[T.6] 0.1358 0.095 1.435 0.152 -0.050 0.322
C(OverallQual)[T.7] 0.1629 0.095 1.722 0.085 -0.023 0.349
C(OverallQual)[T.8] 0.2078 0.096 2.170 0.030 0.020 0.396
C(OverallQual)[T.9] 0.2654 0.099 2.683 0.007 0.071 0.460
C(OverallQual)[T.10] 0.2349 0.105 2.242 0.025 0.029 0.440
C(OverallCond)[T.2] 0.8679 0.124 6.984 0.000 0.624 1.112
C(OverallCond)[T.3] 0.6653 0.071 9.337 0.000 0.525 0.805
C(OverallCond)[T.4] 0.7387 0.068 10.804 0.000 0.604 0.873
C(OverallCond)[T.5] 0.7821 0.069 11.356 0.000 0.647 0.917
C(OverallCond)[T.6] 0.8193 0.069 11.831 0.000 0.683 0.955
C(OverallCond)[T.7] 0.8622 0.069 12.493 0.000 0.727 0.998
C(OverallCond)[T.8] 0.8756 0.070 12.596 0.000 0.739 1.012
C(OverallCond)[T.9] 0.9363 0.072 12.925 0.000 0.794 1.078
C(YearBuilt)[T.1875] -0.0244 0.109 -0.223 0.823 -0.239 0.190
C(YearBuilt)[T.1880] -0.0339 0.086 -0.397 0.692 -0.202 0.134
C(YearBuilt)[T.1882] 0.1060 0.151 0.701 0.483 -0.191 0.403
C(YearBuilt)[T.1885] -0.0601 0.105 -0.571 0.568 -0.267 0.147
C(YearBuilt)[T.1890] -0.0995 0.093 -1.069 0.285 -0.282 0.083
C(YearBuilt)[T.1892] -0.2195 0.153 -1.438 0.151 -0.519 0.080
C(YearBuilt)[T.1893] 0.1885 0.109 1.733 0.083 -0.025 0.402
C(YearBuilt)[T.1898] -0.8395 0.232 -3.612 0.000 -1.296 -0.383
C(YearBuilt)[T.1900] -0.0437 0.050 -0.870 0.384 -0.142 0.055
C(YearBuilt)[T.1904] 0.1310 0.145 0.903 0.367 -0.154 0.415
C(YearBuilt)[T.1905] 0.0610 0.134 0.455 0.649 -0.202 0.324
C(YearBuilt)[T.1906] -0.1023 0.099 -1.037 0.300 -0.296 0.091
C(YearBuilt)[T.1908] -0.1259 0.175 -0.719 0.472 -0.470 0.218
C(YearBuilt)[T.1910] -0.0720 0.040 -1.783 0.075 -0.151 0.007
C(YearBuilt)[T.1911] 0.1651 0.118 1.401 0.162 -0.066 0.396
C(YearBuilt)[T.1912] 0.0675 0.093 0.729 0.466 -0.114 0.249
C(YearBuilt)[T.1913] -0.1792 0.145 -1.237 0.216 -0.463 0.105
C(YearBuilt)[T.1914] 0.0365 0.068 0.536 0.592 -0.097 0.170
C(YearBuilt)[T.1915] 0.1541 0.053 2.917 0.004 0.050 0.258
C(YearBuilt)[T.1916] 0.1476 0.080 1.835 0.067 -0.010 0.305
C(YearBuilt)[T.1917] -0.0006 0.181 -0.004 0.997 -0.356 0.354
C(YearBuilt)[T.1918] 0.0981 0.064 1.539 0.124 -0.027 0.223
C(YearBuilt)[T.1919] 0.1106 0.087 1.270 0.204 -0.060 0.281
C(YearBuilt)[T.1920] -0.0171 0.040 -0.426 0.670 -0.096 0.062
C(YearBuilt)[T.1921] 0.1046 0.087 1.206 0.228 -0.066 0.275
C(YearBuilt)[T.1922] -0.0597 0.072 -0.833 0.405 -0.200 0.081
C(YearBuilt)[T.1923] 0.0392 0.068 0.576 0.565 -0.094 0.173
C(YearBuilt)[T.1924] 0.0896 0.064 1.394 0.164 -0.037 0.216
C(YearBuilt)[T.1925] 0.0894 0.044 2.010 0.045 0.002 0.177
C(YearBuilt)[T.1926] 0.1102 0.091 1.208 0.227 -0.069 0.289
C(YearBuilt)[T.1927] -0.3426 0.115 -2.973 0.003 -0.569 -0.116
C(YearBuilt)[T.1928] 0.0863 0.066 1.306 0.192 -0.043 0.216
C(YearBuilt)[T.1929] 0.0332 0.074 0.452 0.651 -0.111 0.178
C(YearBuilt)[T.1930] 0.0030 0.051 0.060 0.952 -0.096 0.103
C(YearBuilt)[T.1931] 0.0318 0.070 0.457 0.648 -0.105 0.169
C(YearBuilt)[T.1932] 0.2408 0.078 3.097 0.002 0.088 0.393
C(YearBuilt)[T.1934] -0.0742 0.087 -0.853 0.394 -0.245 0.097
C(YearBuilt)[T.1935] -0.0294 0.062 -0.471 0.638 -0.152 0.093
C(YearBuilt)[T.1936] 0.2377 0.069 3.428 0.001 0.102 0.374
C(YearBuilt)[T.1937] -0.0173 0.068 -0.255 0.799 -0.151 0.116
C(YearBuilt)[T.1938] 0.0493 0.081 0.611 0.542 -0.109 0.208
C(YearBuilt)[T.1939] -0.0330 0.085 -0.388 0.698 -0.200 0.134
C(YearBuilt)[T.1940] 0.0170 0.051 0.337 0.736 -0.082 0.116
C(YearBuilt)[T.1941] 0.0787 0.057 1.372 0.170 -0.034 0.191
C(YearBuilt)[T.1942] -0.0117 0.092 -0.127 0.899 -0.192 0.169
C(YearBuilt)[T.1945] 0.1807 0.061 2.954 0.003 0.061 0.301
C(YearBuilt)[T.1946] -0.0458 0.108 -0.424 0.672 -0.257 0.166
C(YearBuilt)[T.1947] 0.0304 0.065 0.466 0.641 -0.097 0.158
C(YearBuilt)[T.1948] 0.0969 0.057 1.689 0.092 -0.016 0.210
C(YearBuilt)[T.1949] 0.1513 0.048 3.170 0.002 0.058 0.245
C(YearBuilt)[T.1950] 0.1061 0.045 2.376 0.018 0.018 0.194
C(YearBuilt)[T.1951] 0.1319 0.094 1.397 0.163 -0.053 0.317
C(YearBuilt)[T.1952] 0.2265 0.056 4.019 0.000 0.116 0.337
C(YearBuilt)[T.1953] 0.4304 0.147 2.927 0.004 0.142 0.719
C(YearBuilt)[T.1954] 0.0713 0.049 1.457 0.146 -0.025 0.167
C(YearBuilt)[T.1955] 0.0956 0.058 1.635 0.102 -0.019 0.210
C(YearBuilt)[T.1956] 0.0634 0.079 0.806 0.420 -0.091 0.218
C(YearBuilt)[T.1957] 0.1205 0.063 1.911 0.056 -0.003 0.244
C(YearBuilt)[T.1958] 0.1400 0.049 2.859 0.004 0.044 0.236
C(YearBuilt)[T.1959] 0.0783 0.052 1.500 0.134 -0.024 0.181
C(YearBuilt)[T.1960] 0.1496 0.072 2.091 0.037 0.009 0.290
C(YearBuilt)[T.1961] 0.0984 0.060 1.632 0.103 -0.020 0.217
C(YearBuilt)[T.1962] 0.0529 0.066 0.801 0.423 -0.077 0.182
C(YearBuilt)[T.1963] 0.1691 0.078 2.166 0.031 0.016 0.322
C(YearBuilt)[T.1964] -0.0587 0.072 -0.814 0.416 -0.200 0.083
C(YearBuilt)[T.1965] 0.1087 0.060 1.803 0.072 -0.010 0.227
C(YearBuilt)[T.1966] -0.0252 0.087 -0.292 0.771 -0.195 0.145
C(YearBuilt)[T.1967] 0.1481 0.084 1.764 0.078 -0.017 0.313
C(YearBuilt)[T.1968] 0.0162 0.070 0.232 0.816 -0.121 0.153
C(YearBuilt)[T.1969] 0.1810 0.174 1.037 0.300 -0.161 0.523
C(YearBuilt)[T.1970] 0.0177 0.057 0.313 0.755 -0.094 0.129
C(YearBuilt)[T.1971] 0.1152 0.079 1.454 0.146 -0.040 0.271
C(YearBuilt)[T.1972] 0.0722 0.055 1.310 0.190 -0.036 0.180
C(YearBuilt)[T.1973] -0.0423 0.108 -0.393 0.694 -0.253 0.169
C(YearBuilt)[T.1974] 0.1393 0.064 2.172 0.030 0.013 0.265
C(YearBuilt)[T.1975] 0.1744 0.071 2.456 0.014 0.035 0.314
C(YearBuilt)[T.1976] 0.0034 0.065 0.052 0.958 -0.124 0.131
C(YearBuilt)[T.1977] 0.0961 0.058 1.665 0.096 -0.017 0.209
C(YearBuilt)[T.1978] 0.0279 0.074 0.375 0.708 -0.118 0.174
C(YearBuilt)[T.1979] 0.1908 0.104 1.843 0.066 -0.012 0.394
C(YearBuilt)[T.1980] 0.1563 0.083 1.894 0.059 -0.006 0.318
C(YearBuilt)[T.1981] 0.1719 0.100 1.718 0.086 -0.024 0.368
C(YearBuilt)[T.1982] 0.1246 0.062 1.994 0.046 0.002 0.247
C(YearBuilt)[T.1983] 0.0965 0.119 0.812 0.417 -0.137 0.330
C(YearBuilt)[T.1984] 0.2069 0.145 1.426 0.154 -0.078 0.492
C(YearBuilt)[T.1985] 0.2311 0.091 2.535 0.011 0.052 0.410
C(YearBuilt)[T.1986] 0.1270 0.089 1.423 0.155 -0.048 0.302
C(YearBuilt)[T.1987] 0.1825 0.105 1.730 0.084 -0.025 0.389
C(YearBuilt)[T.1988] 0.1522 0.085 1.795 0.073 -0.014 0.319
C(YearBuilt)[T.1989] 0.1713 0.086 1.982 0.048 0.002 0.341
C(YearBuilt)[T.1990] 0.1511 0.078 1.946 0.052 -0.001 0.303
C(YearBuilt)[T.1991] 0.0069 0.074 0.093 0.926 -0.138 0.152
C(YearBuilt)[T.1992] 0.1322 0.093 1.423 0.155 -0.050 0.315
C(YearBuilt)[T.1993] 0.0925 0.081 1.136 0.256 -0.067 0.252
C(YearBuilt)[T.1994] 0.0482 0.052 0.926 0.354 -0.054 0.150
C(YearBuilt)[T.1995] 0.1578 0.059 2.671 0.008 0.042 0.274
C(YearBuilt)[T.1996] 0.1766 0.057 3.104 0.002 0.065 0.288
C(YearBuilt)[T.1997] 0.1361 0.063 2.147 0.032 0.012 0.260
C(YearBuilt)[T.1998] 0.2310 0.067 3.466 0.001 0.100 0.362
C(YearBuilt)[T.1999] 0.1078 0.073 1.476 0.140 -0.036 0.251
C(YearBuilt)[T.2000] 0.1617 0.088 1.832 0.067 -0.011 0.335
C(YearBuilt)[T.2001] 0.0080 0.084 0.096 0.924 -0.156 0.172
C(YearBuilt)[T.2002] 0.2032 0.081 2.510 0.012 0.044 0.362
C(YearBuilt)[T.2003] 0.1858 0.061 3.067 0.002 0.067 0.305
C(YearBuilt)[T.2004] 0.1393 0.068 2.042 0.041 0.005 0.273
C(YearBuilt)[T.2005] 0.2116 0.057 3.738 0.000 0.101 0.323
C(YearBuilt)[T.2006] 0.1612 0.056 2.896 0.004 0.052 0.270
C(YearBuilt)[T.2007] 0.2464 0.058 4.223 0.000 0.132 0.361
C(YearBuilt)[T.2008] 0.2514 0.069 3.628 0.000 0.115 0.387
C(YearBuilt)[T.2009] 0.2746 0.089 3.073 0.002 0.099 0.450
C(YearBuilt)[T.2010] 0.1812 0.203 0.894 0.372 -0.217 0.579
C(YearRemodAdd)[T.1951] 0.0165 0.110 0.149 0.881 -0.200 0.233
C(YearRemodAdd)[T.1952] 0.2265 0.056 4.019 0.000 0.116 0.337
C(YearRemodAdd)[T.1953] 0.0952 0.075 1.270 0.204 -0.052 0.242
C(YearRemodAdd)[T.1954] 0.0372 0.052 0.718 0.473 -0.064 0.139
C(YearRemodAdd)[T.1955] 0.0726 0.061 1.195 0.232 -0.047 0.192
C(YearRemodAdd)[T.1956] 0.0473 0.073 0.645 0.519 -0.097 0.191
C(YearRemodAdd)[T.1957] 0.0159 0.053 0.300 0.764 -0.088 0.120
C(YearRemodAdd)[T.1958] -0.0746 0.048 -1.550 0.122 -0.169 0.020
C(YearRemodAdd)[T.1959] 0.0205 0.050 0.414 0.679 -0.077 0.118
C(YearRemodAdd)[T.1960] -0.0365 0.057 -0.646 0.518 -0.147 0.074
C(YearRemodAdd)[T.1961] 0.1077 0.067 1.608 0.108 -0.024 0.239
C(YearRemodAdd)[T.1962] 0.1558 0.067 2.319 0.021 0.024 0.288
C(YearRemodAdd)[T.1963] -0.0582 0.082 -0.707 0.479 -0.220 0.103
C(YearRemodAdd)[T.1964] 0.0756 0.070 1.080 0.280 -0.062 0.213
C(YearRemodAdd)[T.1965] -0.0309 0.055 -0.557 0.577 -0.140 0.078
C(YearRemodAdd)[T.1966] 0.0901 0.066 1.359 0.175 -0.040 0.220
C(YearRemodAdd)[T.1967] 0.0237 0.068 0.350 0.726 -0.109 0.157
C(YearRemodAdd)[T.1968] 0.1717 0.055 3.130 0.002 0.064 0.279
C(YearRemodAdd)[T.1969] -0.0083 0.079 -0.104 0.917 -0.164 0.147
C(YearRemodAdd)[T.1970] 0.1144 0.051 2.255 0.024 0.015 0.214
C(YearRemodAdd)[T.1971] 0.0116 0.074 0.157 0.875 -0.134 0.157
C(YearRemodAdd)[T.1972] -0.0249 0.046 -0.545 0.586 -0.115 0.065
C(YearRemodAdd)[T.1973] 0.0142 0.081 0.175 0.861 -0.145 0.173
C(YearRemodAdd)[T.1974] 0.0444 0.065 0.687 0.492 -0.082 0.171
C(YearRemodAdd)[T.1975] -0.0828 0.079 -1.053 0.292 -0.237 0.071
C(YearRemodAdd)[T.1976] 0.1006 0.053 1.910 0.056 -0.003 0.204
C(YearRemodAdd)[T.1977] 0.0654 0.053 1.224 0.221 -0.039 0.170
C(YearRemodAdd)[T.1978] 0.1289 0.061 2.120 0.034 0.010 0.248
C(YearRemodAdd)[T.1979] -0.0886 0.093 -0.957 0.339 -0.270 0.093
C(YearRemodAdd)[T.1980] -0.0022 0.072 -0.031 0.976 -0.143 0.139
C(YearRemodAdd)[T.1981] -0.0308 0.066 -0.467 0.640 -0.160 0.099
C(YearRemodAdd)[T.1982] 0.0574 0.056 1.026 0.305 -0.052 0.167
C(YearRemodAdd)[T.1983] 0.0244 0.076 0.323 0.747 -0.124 0.173
C(YearRemodAdd)[T.1984] 0.0795 0.062 1.273 0.203 -0.043 0.202
C(YearRemodAdd)[T.1985] -0.0236 0.071 -0.333 0.739 -0.163 0.116
C(YearRemodAdd)[T.1986] 0.1034 0.087 1.187 0.235 -0.068 0.274
C(YearRemodAdd)[T.1987] 0.0349 0.053 0.662 0.508 -0.069 0.138
C(YearRemodAdd)[T.1988] 0.0737 0.051 1.447 0.148 -0.026 0.174
C(YearRemodAdd)[T.1989] 0.0163 0.049 0.335 0.738 -0.079 0.112
C(YearRemodAdd)[T.1990] 0.0254 0.044 0.572 0.567 -0.062 0.112
C(YearRemodAdd)[T.1991] 0.0557 0.049 1.133 0.258 -0.041 0.152
C(YearRemodAdd)[T.1992] 0.0753 0.042 1.782 0.075 -0.008 0.158
C(YearRemodAdd)[T.1993] 0.0506 0.040 1.273 0.203 -0.027 0.129
C(YearRemodAdd)[T.1994] 0.0734 0.034 2.164 0.031 0.007 0.140
C(YearRemodAdd)[T.1995] 0.0620 0.032 1.965 0.050 7.88e-05 0.124
C(YearRemodAdd)[T.1996] 0.0423 0.031 1.385 0.166 -0.018 0.102
C(YearRemodAdd)[T.1997] 0.0314 0.035 0.897 0.370 -0.037 0.100
C(YearRemodAdd)[T.1998] 0.0334 0.035 0.965 0.335 -0.035 0.101
C(YearRemodAdd)[T.1999] 0.0829 0.035 2.359 0.019 0.014 0.152
C(YearRemodAdd)[T.2000] 0.0794 0.029 2.728 0.007 0.022 0.136
C(YearRemodAdd)[T.2001] 0.0853 0.034 2.490 0.013 0.018 0.153
C(YearRemodAdd)[T.2002] 0.0511 0.030 1.716 0.087 -0.007 0.110
C(YearRemodAdd)[T.2003] 0.0298 0.029 1.016 0.310 -0.028 0.087
C(YearRemodAdd)[T.2004] 0.0445 0.028 1.582 0.114 -0.011 0.100
C(YearRemodAdd)[T.2005] 0.0383 0.027 1.423 0.155 -0.015 0.091
C(YearRemodAdd)[T.2006] 0.0250 0.026 0.965 0.335 -0.026 0.076
C(YearRemodAdd)[T.2007] 0.0693 0.028 2.454 0.014 0.014 0.125
C(YearRemodAdd)[T.2008] 0.0657 0.038 1.718 0.086 -0.009 0.141
C(YearRemodAdd)[T.2009] 0.0848 0.064 1.324 0.186 -0.041 0.211
C(YearRemodAdd)[T.2010] 0.1039 0.080 1.292 0.197 -0.054 0.262
RoofStyle[T.Gable] -0.1453 0.097 -1.500 0.134 -0.335 0.045
RoofStyle[T.Gambrel] -0.1978 0.107 -1.842 0.066 -0.409 0.013
RoofStyle[T.Hip] -0.1413 0.097 -1.458 0.145 -0.332 0.049
RoofStyle[T.Mansard] -0.1153 0.115 -1.003 0.316 -0.341 0.110
RoofStyle[T.Shed] 0.3859 0.201 1.919 0.055 -0.009 0.781
RoofMatl[T.Membran] 0.2674 0.160 1.668 0.096 -0.047 0.582
RoofMatl[T.Metal] 0.0949 0.152 0.624 0.533 -0.203 0.393
RoofMatl[T.Roll] -0.1183 0.125 -0.947 0.344 -0.363 0.127
RoofMatl[T.Tar&Grv] -0.0891 0.091 -0.981 0.327 -0.267 0.089
RoofMatl[T.WdShake] -0.0560 0.079 -0.712 0.477 -0.210 0.098
RoofMatl[T.WdShngl] 0.0105 0.057 0.185 0.853 -0.101 0.122
Exterior1st[T.AsphShn] 0.0182 0.169 0.108 0.914 -0.312 0.349
Exterior1st[T.BrkComm] -0.3119 0.153 -2.040 0.042 -0.612 -0.012
Exterior1st[T.BrkFace] 0.1120 0.081 1.377 0.169 -0.048 0.272
Exterior1st[T.CBlock] -0.0272 0.076 -0.358 0.720 -0.177 0.122
Exterior1st[T.CemntBd] -0.0624 0.115 -0.544 0.586 -0.287 0.163
Exterior1st[T.HdBoard] 0.0403 0.084 0.478 0.633 -0.125 0.206
Exterior1st[T.ImStucc] -0.0111 0.135 -0.082 0.935 -0.276 0.254
Exterior1st[T.MetalSd] 0.0989 0.090 1.101 0.271 -0.077 0.275
Exterior1st[T.Plywood] 0.0416 0.083 0.500 0.617 -0.122 0.205
Exterior1st[T.Stone] 0.0797 0.133 0.597 0.551 -0.182 0.342
Exterior1st[T.Stucco] 0.0515 0.094 0.549 0.583 -0.132 0.235
Exterior1st[T.VinylSd] 0.0015 0.088 0.017 0.986 -0.172 0.175
Exterior1st[T.Wd Sdng] -0.0051 0.081 -0.063 0.949 -0.163 0.153
Exterior1st[T.WdShing] 0.0930 0.087 1.069 0.285 -0.078 0.264
Exterior2nd[T.AsphShn] -0.0322 0.122 -0.263 0.793 -0.272 0.208
Exterior2nd[T.Brk Cmn] -0.0284 0.108 -0.262 0.793 -0.241 0.184
Exterior2nd[T.BrkFace] -0.1004 0.078 -1.290 0.197 -0.253 0.052
Exterior2nd[T.CBlock] -0.0272 0.076 -0.358 0.720 -0.177 0.122
Exterior2nd[T.CmentBd] 0.0694 0.109 0.637 0.525 -0.144 0.283
Exterior2nd[T.HdBoard] -0.0694 0.077 -0.902 0.368 -0.220 0.082
Exterior2nd[T.ImStucc] -0.0330 0.083 -0.397 0.691 -0.196 0.130
Exterior2nd[T.MetalSd] -0.1085 0.084 -1.298 0.195 -0.272 0.056
Exterior2nd[T.Other] -0.0832 0.132 -0.629 0.530 -0.343 0.176
Exterior2nd[T.Plywood] -0.0614 0.076 -0.808 0.419 -0.211 0.088
Exterior2nd[T.Stone] -0.1090 0.103 -1.059 0.290 -0.311 0.093
Exterior2nd[T.Stucco] -0.0051 0.088 -0.058 0.954 -0.178 0.168
Exterior2nd[T.VinylSd] -0.0172 0.082 -0.209 0.835 -0.178 0.144
Exterior2nd[T.Wd Sdng] -0.0273 0.074 -0.369 0.713 -0.173 0.118
Exterior2nd[T.Wd Shng] -0.0982 0.079 -1.239 0.216 -0.254 0.057
MasVnrType[T.BrkFace] 0.0738 0.034 2.150 0.032 0.006 0.141
MasVnrType[T.None] 0.0640 0.035 1.844 0.065 -0.004 0.132
MasVnrType[T.Stone] 0.0931 0.036 2.560 0.011 0.022 0.165
ExterQual[T.Fa] 0.0308 0.065 0.471 0.637 -0.097 0.159
ExterQual[T.Gd] -0.0121 0.025 -0.482 0.630 -0.061 0.037
ExterQual[T.TA] -0.0111 0.028 -0.403 0.687 -0.065 0.043
ExterCond[T.Fa] -0.1118 0.101 -1.113 0.266 -0.309 0.085
ExterCond[T.Gd] -0.0916 0.096 -0.949 0.343 -0.281 0.098
ExterCond[T.Po] -0.3338 0.220 -1.515 0.130 -0.766 0.099
ExterCond[T.TA] -0.0820 0.097 -0.848 0.396 -0.272 0.108
Foundation[T.CBlock] 0.0168 0.021 0.790 0.430 -0.025 0.059
Foundation[T.PConc] 0.0514 0.021 2.409 0.016 0.010 0.093
Foundation[T.Slab] -0.0056 0.042 -0.132 0.895 -0.089 0.077
Foundation[T.Stone] 0.1708 0.066 2.589 0.010 0.041 0.300
Foundation[T.Wood] -0.0914 0.072 -1.278 0.202 -0.232 0.049
BsmtQual[T.Fa] 0.0287 0.035 0.818 0.414 -0.040 0.098
BsmtQual[T.Gd] -0.0201 0.016 -1.270 0.204 -0.051 0.011
BsmtQual[T.TA] -0.0144 0.021 -0.700 0.484 -0.055 0.026
BsmtCond[T.Gd] 0.0366 0.030 1.219 0.223 -0.022 0.095
BsmtCond[T.Po] 1.0229 0.141 7.237 0.000 0.746 1.300
BsmtCond[T.TA] 0.0464 0.025 1.834 0.067 -0.003 0.096
BsmtExposure[T.Gd] 0.0349 0.015 2.401 0.017 0.006 0.063
BsmtExposure[T.Mn] 0.0130 0.014 0.910 0.363 -0.015 0.041
BsmtExposure[T.No] -0.0071 0.010 -0.682 0.495 -0.027 0.013
BsmtFinType1[T.BLQ] 0.0008 0.014 0.056 0.955 -0.026 0.028
BsmtFinType1[T.GLQ] 0.0116 0.013 0.929 0.353 -0.013 0.036
BsmtFinType1[T.LwQ] -0.0201 0.020 -1.011 0.312 -0.059 0.019
BsmtFinType1[T.Rec] -0.0060 0.015 -0.397 0.691 -0.036 0.024
BsmtFinType1[T.Unf] -0.0079 0.015 -0.548 0.584 -0.036 0.021
BsmtFinType2[T.BLQ] -0.0570 0.038 -1.484 0.138 -0.132 0.018
BsmtFinType2[T.GLQ] 0.0055 0.044 0.124 0.901 -0.081 0.092
BsmtFinType2[T.LwQ] -0.0394 0.037 -1.074 0.283 -0.111 0.033
BsmtFinType2[T.Rec] -0.0243 0.035 -0.699 0.485 -0.092 0.044
BsmtFinType2[T.Unf] -0.0241 0.038 -0.639 0.523 -0.098 0.050
Heating[T.GasA] 0.1653 0.131 1.257 0.209 -0.093 0.423
Heating[T.GasW] 0.2003 0.136 1.469 0.142 -0.067 0.468
Heating[T.Grav] 0.0026 0.144 0.018 0.986 -0.279 0.284
Heating[T.OthW] 0.1898 0.180 1.056 0.291 -0.163 0.542
Heating[T.Wall] 0.1639 0.143 1.147 0.252 -0.117 0.444
HeatingQC[T.Fa] -0.0337 0.025 -1.356 0.175 -0.083 0.015
HeatingQC[T.Gd] -0.0163 0.010 -1.574 0.116 -0.037 0.004
HeatingQC[T.Po] -0.0414 0.128 -0.323 0.747 -0.293 0.210
HeatingQC[T.TA] -0.0320 0.011 -2.978 0.003 -0.053 -0.011
CentralAir[T.Y] 0.0468 0.022 2.122 0.034 0.004 0.090
Electrical[T.FuseF] -0.0117 0.031 -0.377 0.706 -0.073 0.049
Electrical[T.FuseP] -0.2230 0.100 -2.226 0.026 -0.420 -0.026
Electrical[T.Mix] -1.1082 0.228 -4.865 0.000 -1.555 -0.661
Electrical[T.SBrkr] -0.0225 0.016 -1.379 0.168 -0.055 0.010
C(BsmtFullBath)[T.1] 0.0220 0.010 2.242 0.025 0.003 0.041
C(BsmtFullBath)[T.2] 0.0815 0.050 1.628 0.104 -0.017 0.180
C(BsmtFullBath)[T.3] 0.3772 0.172 2.196 0.028 0.040 0.714
C(BsmtHalfBath)[T.1] 0.0139 0.016 0.871 0.384 -0.017 0.045
C(BsmtHalfBath)[T.2] 0.0361 0.139 0.259 0.795 -0.237 0.309
C(FullBath)[T.1] 0.1076 0.087 1.244 0.214 -0.062 0.277
C(FullBath)[T.2] 0.1213 0.088 1.378 0.169 -0.051 0.294
C(FullBath)[T.3] 0.1424 0.092 1.542 0.123 -0.039 0.324
C(HalfBath)[T.1] 0.0271 0.011 2.450 0.014 0.005 0.049
C(HalfBath)[T.2] 0.0181 0.046 0.397 0.692 -0.071 0.108
C(BedroomAbvGr)[T.1] -0.0037 0.080 -0.046 0.963 -0.161 0.153
C(BedroomAbvGr)[T.2] 0.0095 0.079 0.120 0.905 -0.146 0.165
C(BedroomAbvGr)[T.3] -0.0027 0.080 -0.034 0.973 -0.160 0.155
C(BedroomAbvGr)[T.4] -0.0089 0.082 -0.109 0.913 -0.169 0.151
C(BedroomAbvGr)[T.5] -0.0582 0.089 -0.657 0.511 -0.232 0.116
C(BedroomAbvGr)[T.6] 0.0423 0.102 0.415 0.679 -0.158 0.242
C(BedroomAbvGr)[T.8] 0.1886 0.106 1.773 0.077 -0.020 0.397
C(KitchenAbvGr)[T.1] 0.2008 0.220 0.913 0.362 -0.231 0.633
C(KitchenAbvGr)[T.2] 0.1870 0.224 0.835 0.404 -0.252 0.626
C(KitchenAbvGr)[T.3] 0.3571 0.250 1.427 0.154 -0.134 0.848
KitchenQual[T.Fa] -0.0509 0.033 -1.554 0.121 -0.115 0.013
KitchenQual[T.Gd] -0.0450 0.017 -2.628 0.009 -0.079 -0.011
KitchenQual[T.TA] -0.0368 0.020 -1.885 0.060 -0.075 0.002
C(TotRmsAbvGrd)[T.3] 0.3130 0.091 3.454 0.001 0.135 0.491
C(TotRmsAbvGrd)[T.4] 0.2908 0.087 3.335 0.001 0.120 0.462
C(TotRmsAbvGrd)[T.5] 0.2989 0.087 3.422 0.001 0.127 0.470
C(TotRmsAbvGrd)[T.6] 0.3176 0.088 3.597 0.000 0.144 0.491
C(TotRmsAbvGrd)[T.7] 0.3135 0.089 3.540 0.000 0.140 0.487
C(TotRmsAbvGrd)[T.8] 0.3211 0.089 3.604 0.000 0.146 0.496
C(TotRmsAbvGrd)[T.9] 0.3091 0.090 3.435 0.001 0.133 0.486
C(TotRmsAbvGrd)[T.10] 0.3084 0.092 3.344 0.001 0.127 0.489
C(TotRmsAbvGrd)[T.11] 0.2912 0.098 2.976 0.003 0.099 0.483
C(TotRmsAbvGrd)[T.12] 0.3248 0.097 3.359 0.001 0.135 0.515
C(TotRmsAbvGrd)[T.14] 0.1886 0.106 1.773 0.077 -0.020 0.397
Functional[T.Maj2] -0.1949 0.075 -2.606 0.009 -0.342 -0.048
Functional[T.Min1] -0.0005 0.043 -0.012 0.990 -0.086 0.085
Functional[T.Min2] 0.0024 0.045 0.052 0.959 -0.087 0.092
Functional[T.Mod] -0.0388 0.052 -0.743 0.458 -0.141 0.064
Functional[T.Sev] -0.0864 0.171 -0.506 0.613 -0.422 0.249
Functional[T.Typ] 0.0526 0.038 1.386 0.166 -0.022 0.127
C(Fireplaces)[T.1] 0.0161 0.008 1.897 0.058 -0.001 0.033
C(Fireplaces)[T.2] 0.0373 0.015 2.420 0.016 0.007 0.068
C(Fireplaces)[T.3] 0.0285 0.060 0.476 0.634 -0.089 0.146
GarageType[T.Attchd] 0.1397 0.063 2.212 0.027 0.016 0.264
GarageType[T.Basment] 0.1428 0.072 1.986 0.047 0.002 0.284
GarageType[T.BuiltIn] 0.1461 0.065 2.260 0.024 0.019 0.273
GarageType[T.CarPort] 0.1173 0.082 1.429 0.153 -0.044 0.278
GarageType[T.Detchd] 0.1319 0.063 2.087 0.037 0.008 0.256
C(GarageYrBlt)[T.1906] -0.1023 0.099 -1.037 0.300 -0.296 0.091
C(GarageYrBlt)[T.1908] 0.0452 0.272 0.166 0.868 -0.489 0.579
C(GarageYrBlt)[T.1910] 0.1036 0.197 0.527 0.598 -0.282 0.489
C(GarageYrBlt)[T.1914] -0.2428 0.194 -1.254 0.210 -0.623 0.137
C(GarageYrBlt)[T.1915] -0.3007 0.188 -1.596 0.111 -0.671 0.069
C(GarageYrBlt)[T.1916] -0.2916 0.195 -1.495 0.135 -0.674 0.091
C(GarageYrBlt)[T.1918] -0.2677 0.222 -1.204 0.229 -0.704 0.169
C(GarageYrBlt)[T.1920] -0.1608 0.174 -0.924 0.356 -0.502 0.181
C(GarageYrBlt)[T.1921] -0.1167 0.202 -0.577 0.564 -0.513 0.280
C(GarageYrBlt)[T.1922] 0.0184 0.189 0.097 0.922 -0.353 0.390
C(GarageYrBlt)[T.1923] -0.0433 0.189 -0.229 0.819 -0.415 0.328
C(GarageYrBlt)[T.1924] -0.2627 0.188 -1.399 0.162 -0.631 0.106
C(GarageYrBlt)[T.1925] -0.1661 0.172 -0.965 0.335 -0.504 0.172
C(GarageYrBlt)[T.1926] -0.1403 0.199 -0.704 0.481 -0.531 0.251
C(GarageYrBlt)[T.1927] 0.4021 0.232 1.732 0.084 -0.053 0.858
C(GarageYrBlt)[T.1928] -0.1085 0.189 -0.573 0.567 -0.480 0.263
C(GarageYrBlt)[T.1929] -0.1570 0.193 -0.813 0.416 -0.536 0.222
C(GarageYrBlt)[T.1930] -0.0661 0.175 -0.377 0.706 -0.410 0.278
C(GarageYrBlt)[T.1931] -0.0880 0.187 -0.470 0.639 -0.456 0.280
C(GarageYrBlt)[T.1932] -0.1592 0.184 -0.865 0.387 -0.520 0.202
C(GarageYrBlt)[T.1933] -0.0869 0.205 -0.423 0.672 -0.490 0.316
C(GarageYrBlt)[T.1934] 0.0669 0.194 0.344 0.731 -0.314 0.448
C(GarageYrBlt)[T.1935] -0.1214 0.177 -0.686 0.493 -0.469 0.226
C(GarageYrBlt)[T.1936] -0.2486 0.186 -1.339 0.181 -0.613 0.116
C(GarageYrBlt)[T.1937] -0.1315 0.194 -0.677 0.498 -0.512 0.249
C(GarageYrBlt)[T.1938] -0.2662 0.185 -1.441 0.150 -0.629 0.096
C(GarageYrBlt)[T.1939] -0.0059 0.187 -0.032 0.975 -0.372 0.360
C(GarageYrBlt)[T.1940] -0.1084 0.178 -0.608 0.543 -0.458 0.242
C(GarageYrBlt)[T.1941] -0.1851 0.178 -1.037 0.300 -0.535 0.165
C(GarageYrBlt)[T.1942] -0.0117 0.092 -0.127 0.899 -0.192 0.169
C(GarageYrBlt)[T.1945] -0.2099 0.183 -1.145 0.253 -0.570 0.150
C(GarageYrBlt)[T.1946] -0.1300 0.212 -0.614 0.539 -0.546 0.286
C(GarageYrBlt)[T.1947] -0.0637 0.200 -0.319 0.750 -0.456 0.328
C(GarageYrBlt)[T.1948] -0.1275 0.176 -0.726 0.468 -0.472 0.217
C(GarageYrBlt)[T.1949] -0.2043 0.173 -1.180 0.238 -0.544 0.135
C(GarageYrBlt)[T.1950] -0.1883 0.171 -1.104 0.270 -0.523 0.146
C(GarageYrBlt)[T.1951] -0.2034 0.185 -1.101 0.271 -0.566 0.159
C(GarageYrBlt)[T.1952] -0.5929 0.210 -2.817 0.005 -1.006 -0.180
C(GarageYrBlt)[T.1953] -0.6261 0.233 -2.688 0.007 -1.083 -0.169
C(GarageYrBlt)[T.1954] -0.1683 0.169 -0.997 0.319 -0.499 0.163
C(GarageYrBlt)[T.1955] -0.2317 0.173 -1.341 0.180 -0.571 0.108
C(GarageYrBlt)[T.1956] -0.1681 0.177 -0.951 0.342 -0.515 0.179
C(GarageYrBlt)[T.1957] -0.2311 0.175 -1.320 0.187 -0.575 0.113
C(GarageYrBlt)[T.1958] -0.1683 0.171 -0.985 0.325 -0.504 0.167
C(GarageYrBlt)[T.1959] -0.1659 0.172 -0.965 0.335 -0.503 0.172
C(GarageYrBlt)[T.1960] -0.1842 0.163 -1.129 0.259 -0.504 0.136
C(GarageYrBlt)[T.1961] -0.2319 0.171 -1.355 0.176 -0.568 0.104
C(GarageYrBlt)[T.1962] -0.1873 0.171 -1.095 0.274 -0.523 0.148
C(GarageYrBlt)[T.1963] -0.2110 0.174 -1.209 0.227 -0.553 0.131
C(GarageYrBlt)[T.1964] -0.0483 0.170 -0.285 0.776 -0.381 0.285
C(GarageYrBlt)[T.1965] -0.2077 0.175 -1.190 0.234 -0.550 0.135
C(GarageYrBlt)[T.1966] -0.0684 0.179 -0.383 0.702 -0.419 0.283
C(GarageYrBlt)[T.1967] -0.2268 0.176 -1.289 0.198 -0.572 0.119
C(GarageYrBlt)[T.1968] -0.1879 0.174 -1.078 0.281 -0.530 0.154
C(GarageYrBlt)[T.1969] -0.1970 0.229 -0.859 0.391 -0.647 0.253
C(GarageYrBlt)[T.1970] -0.1836 0.171 -1.076 0.282 -0.518 0.151
C(GarageYrBlt)[T.1971] -0.2035 0.173 -1.176 0.240 -0.543 0.136
C(GarageYrBlt)[T.1972] -0.1029 0.171 -0.601 0.548 -0.439 0.233
C(GarageYrBlt)[T.1973] -0.0747 0.181 -0.412 0.680 -0.430 0.281
C(GarageYrBlt)[T.1974] -0.1353 0.169 -0.800 0.424 -0.467 0.196
C(GarageYrBlt)[T.1975] -0.0922 0.180 -0.511 0.610 -0.446 0.262
C(GarageYrBlt)[T.1976] -0.1143 0.172 -0.665 0.506 -0.451 0.223
C(GarageYrBlt)[T.1977] -0.2093 0.169 -1.239 0.216 -0.541 0.122
C(GarageYrBlt)[T.1978] -0.1503 0.172 -0.874 0.383 -0.488 0.187
C(GarageYrBlt)[T.1979] -0.0954 0.175 -0.545 0.586 -0.439 0.248
C(GarageYrBlt)[T.1980] -0.1145 0.171 -0.671 0.503 -0.450 0.221
C(GarageYrBlt)[T.1981] -0.1493 0.176 -0.846 0.398 -0.496 0.197
C(GarageYrBlt)[T.1982] -0.2521 0.183 -1.374 0.170 -0.612 0.108
C(GarageYrBlt)[T.1983] -0.1448 0.186 -0.777 0.438 -0.511 0.221
C(GarageYrBlt)[T.1984] -0.3038 0.224 -1.354 0.176 -0.744 0.137
C(GarageYrBlt)[T.1985] -0.1248 0.175 -0.715 0.475 -0.467 0.218
C(GarageYrBlt)[T.1986] -0.1760 0.185 -0.952 0.341 -0.539 0.187
C(GarageYrBlt)[T.1987] -0.1445 0.173 -0.835 0.404 -0.484 0.195
C(GarageYrBlt)[T.1988] -0.1951 0.183 -1.064 0.288 -0.555 0.165
C(GarageYrBlt)[T.1989] -0.0872 0.173 -0.503 0.615 -0.427 0.253
C(GarageYrBlt)[T.1990] -0.1978 0.179 -1.104 0.270 -0.550 0.154
C(GarageYrBlt)[T.1991] -0.0907 0.174 -0.522 0.602 -0.432 0.251
C(GarageYrBlt)[T.1992] -0.2246 0.187 -1.204 0.229 -0.591 0.142
C(GarageYrBlt)[T.1993] -0.1425 0.174 -0.818 0.414 -0.484 0.200
C(GarageYrBlt)[T.1994] -0.0615 0.169 -0.365 0.715 -0.392 0.269
C(GarageYrBlt)[T.1995] -0.1539 0.172 -0.893 0.372 -0.492 0.184
C(GarageYrBlt)[T.1996] -0.1570 0.169 -0.929 0.353 -0.489 0.175
C(GarageYrBlt)[T.1997] -0.0983 0.175 -0.563 0.574 -0.441 0.245
C(GarageYrBlt)[T.1998] -0.2104 0.174 -1.210 0.227 -0.552 0.131
C(GarageYrBlt)[T.1999] -0.1276 0.174 -0.735 0.463 -0.469 0.213
C(GarageYrBlt)[T.2000] -0.1789 0.183 -0.976 0.329 -0.539 0.181
C(GarageYrBlt)[T.2001] 0.0080 0.084 0.096 0.924 -0.156 0.172
C(GarageYrBlt)[T.2002] -0.1968 0.180 -1.096 0.273 -0.549 0.156
C(GarageYrBlt)[T.2003] -0.1413 0.174 -0.812 0.417 -0.483 0.200
C(GarageYrBlt)[T.2004] -0.1021 0.177 -0.576 0.565 -0.450 0.246
C(GarageYrBlt)[T.2005] -0.1708 0.173 -0.986 0.324 -0.511 0.169
C(GarageYrBlt)[T.2006] -0.0970 0.173 -0.562 0.574 -0.436 0.242
C(GarageYrBlt)[T.2007] -0.2375 0.174 -1.362 0.173 -0.580 0.105
C(GarageYrBlt)[T.2008] -0.1589 0.179 -0.890 0.374 -0.509 0.192
C(GarageYrBlt)[T.2009] -0.2281 0.195 -1.172 0.241 -0.610 0.154
C(GarageYrBlt)[T.2010] -0.2859 0.211 -1.355 0.176 -0.700 0.128
GarageFinish[T.RFn] 0.0042 0.009 0.460 0.645 -0.014 0.022
GarageFinish[T.Unf] -0.0045 0.012 -0.380 0.704 -0.028 0.019
C(GarageCars)[T.1] 0.1023 0.053 1.923 0.055 -0.002 0.207
C(GarageCars)[T.2] 0.1237 0.056 2.201 0.028 0.013 0.234
C(GarageCars)[T.3] 0.1572 0.062 2.527 0.012 0.035 0.279
C(GarageCars)[T.4] 0.2376 0.085 2.785 0.005 0.070 0.405
GarageQual[T.Fa] -0.5915 0.227 -2.604 0.009 -1.037 -0.146
GarageQual[T.Gd] -0.5482 0.231 -2.374 0.018 -1.001 -0.095
GarageQual[T.Po] -0.7958 0.279 -2.850 0.004 -1.344 -0.248
GarageQual[T.TA] -0.5858 0.226 -2.595 0.010 -1.029 -0.143
GarageCond[T.Fa] 0.5233 0.250 2.095 0.036 0.033 1.014
GarageCond[T.Gd] 0.5250 0.254 2.066 0.039 0.026 1.024
GarageCond[T.Po] 0.6998 0.266 2.633 0.009 0.178 1.221
GarageCond[T.TA] 0.5430 0.248 2.189 0.029 0.056 1.030
PavedDrive[T.P] -0.0389 0.032 -1.218 0.223 -0.102 0.024
PavedDrive[T.Y] 0.0136 0.019 0.721 0.471 -0.023 0.051
C(MoSold)[T.2] 0.0050 0.022 0.226 0.821 -0.039 0.049
C(MoSold)[T.3] 0.0047 0.020 0.235 0.815 -0.034 0.044
C(MoSold)[T.4] 0.0024 0.019 0.127 0.899 -0.034 0.039
C(MoSold)[T.5] 0.0188 0.018 1.059 0.290 -0.016 0.054
C(MoSold)[T.6] 0.0195 0.018 1.099 0.272 -0.015 0.054
C(MoSold)[T.7] 0.0190 0.018 1.059 0.290 -0.016 0.054
C(MoSold)[T.8] 0.0106 0.019 0.558 0.577 -0.027 0.048
C(MoSold)[T.9] 0.0194 0.021 0.902 0.368 -0.023 0.062
C(MoSold)[T.10] 0.0115 0.021 0.551 0.582 -0.029 0.052
C(MoSold)[T.11] 0.0155 0.021 0.740 0.459 -0.026 0.057
C(MoSold)[T.12] 0.0065 0.022 0.290 0.772 -0.037 0.050
C(YrSold)[T.2007] -0.0088 0.010 -0.912 0.362 -0.028 0.010
C(YrSold)[T.2008] -0.0083 0.010 -0.843 0.400 -0.028 0.011
C(YrSold)[T.2009] -0.0280 0.010 -2.844 0.005 -0.047 -0.009
C(YrSold)[T.2010] -0.0122 0.012 -1.020 0.308 -0.036 0.011
SaleType[T.CWD] 0.0707 0.066 1.071 0.285 -0.059 0.200
SaleType[T.Con] 0.0255 0.083 0.309 0.757 -0.137 0.188
SaleType[T.ConLD] 0.0533 0.048 1.116 0.265 -0.040 0.147
SaleType[T.ConLI] -0.0090 0.054 -0.166 0.868 -0.116 0.098
SaleType[T.ConLw] 0.0004 0.059 0.006 0.995 -0.115 0.116
SaleType[T.New] 0.0384 0.075 0.512 0.609 -0.109 0.186
SaleType[T.Oth] 0.0415 0.075 0.556 0.579 -0.105 0.188
SaleType[T.WD] -0.0312 0.021 -1.506 0.132 -0.072 0.009
SaleCondition[T.AdjLand] 0.2259 0.081 2.781 0.006 0.066 0.385
SaleCondition[T.Alloca] -0.0241 0.053 -0.453 0.650 -0.128 0.080
SaleCondition[T.Family] 0.0033 0.029 0.116 0.908 -0.053 0.060
SaleCondition[T.Normal] 0.0678 0.014 4.809 0.000 0.040 0.095
SaleCondition[T.Partial] 0.0281 0.072 0.393 0.694 -0.112 0.169
LotFrontage 0.0004 0.000 1.710 0.088 -5.7e-05 0.001
LotArea 2.985e-06 5.58e-07 5.350 0.000 1.89e-06 4.08e-06
MasVnrArea 2.15e-05 2.68e-05 0.801 0.423 -3.12e-05 7.42e-05
BsmtFinSF1 6.255e-05 1.41e-05 4.450 0.000 3.5e-05 9.01e-05
BsmtFinSF2 1.33e-05 2.86e-05 0.465 0.642 -4.29e-05 6.95e-05
BsmtUnfSF 3.806e-07 1.3e-05 0.029 0.977 -2.52e-05 2.6e-05
TotalBsmtSF 7.624e-05 1.76e-05 4.336 0.000 4.17e-05 0.000
firstFlrSf 8.289e-05 3.65e-05 2.269 0.024 1.12e-05 0.000
secondFlrSf 8.918e-05 3.12e-05 2.856 0.004 2.79e-05 0.000
LowQualFinSF 2.418e-05 8.56e-05 0.282 0.778 -0.000 0.000
GrLivArea 0.0002 3.36e-05 5.838 0.000 0.000 0.000
GarageArea 3.648e-05 4.06e-05 0.898 0.369 -4.32e-05 0.000
WoodDeckSF 0.0001 2.82e-05 3.735 0.000 4.99e-05 0.000
OpenPorchSF 0.0001 5.61e-05 2.188 0.029 1.26e-05 0.000
EnclosedPorch 9.994e-05 6.46e-05 1.546 0.122 -2.69e-05 0.000
threeSsnPorch 0.0002 0.000 1.681 0.093 -2.97e-05 0.000
ScreenPorch 0.0002 6.09e-05 4.048 0.000 0.000 0.000
PoolArea 0.0001 9.04e-05 1.514 0.130 -4.05e-05 0.000
MiscVal -1.22e-06 7.01e-06 -0.174 0.862 -1.5e-05 1.25e-05
==============================================================================
Omnibus: 339.956 Durbin-Watson: 1.919
Prob(Omnibus): 0.000 Jarque-Bera (JB): 3016.925
Skew: -0.826 Prob(JB): 0.00
Kurtosis: 9.853 Cond. No. 8.48e+17
==============================================================================
Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The smallest eigenvalue is 4.25e-25. This might indicate that there are
strong multicollinearity problems or that the design matrix is singular.
Improvment in Rsquared in obvious is after working with log(y) and removing some of the outliers¶
Looking again at y vs x graph. It is observed that the following numerical values are higly skewed:
'LotFrontage','LotArea', 'BsmtFinSF1','firstFlrSf','MiscVal'. Let us convert that into log scale. But as some of them includes zero, let us apply log(1+x) transormation instead.
In [28]:
# plt.scatter(np.log(train['LotFrontage']+1),train['SalePrice'])
# plt.show()
# axs = axs.ravel()
train_noncat=['LotFrontage','LotArea','BsmtFinSF1','firstFlrSf','MiscVal']
for i in range(5):
plt.figure(i)
plt.scatter(np.log(train[train_noncat[i]]+1), train['SalePrice'])
plt.title(train_noncat[i])
#axs[i].set_xlabel(train.columns[i])
plt.ylabel('SalePrice')
plt.show()
# plt.savefig('individualresid.png')
The log(1+x) transformation seesm better¶
Making observation on non-numerical parameters¶
In [29]:
# plt.hist(train['BsmtFinType1'])
# plt.hist(train['PoolQC'])
traincat=train.drop(['LotFrontage','LotArea','MasVnrArea','BsmtFinSF1','BsmtFinSF2','BsmtUnfSF','TotalBsmtSF','firstFlrSf','secondFlrSf','LowQualFinSF','GrLivArea','GarageArea','WoodDeckSF','OpenPorchSF','EnclosedPorch','threeSsnPorch', 'ScreenPorch','PoolArea','MiscVal'],axis=1)
for i in range(56):
plt.figure(i)
plt.hist(traincat.iloc[:,i])
plt.title(traincat.columns[i])
#axs[i].set_xlabel(train.columns[i])
# plt.ylabel('SalePrice')
plt.show()
# traincat.shape[1]
C:\Users\Sujal Bhavsar\Anaconda3\lib\site-packages\ipykernel_launcher.py:8: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).
It makes sense to drop out the following parameters, Because they are almost the same throughout the dataset/ sample¶
In [30]:
train=train.drop(['Street','Utilities','Condition2','RoofMatl'],axis=1)
In [32]:
train.shape
Out[32]:
(1457, 71)
In [33]:
jupyter nbconvert --to html notebook.ipynb
File "<ipython-input-33-991260e3a7ca>", line 1 jupyter nbconvert --to html notebook.ipynb ^ SyntaxError: invalid syntax